Search a number
-
+
3150345984 = 283311131171
BaseRepresentation
bin1011101111000110…
…0111011100000000
322010112221011020220
42323301213130000
522422442032414
61240334503040
7141032333112
oct27361473400
98115834226
103150345984
111377319625
1273b064a80
133b28a4a66
1421c5813b2
15136890ca9
hexbbc67700

3150345984 has 144 divisors (see below), whose sum is σ = 8739032064. Its totient is φ = 1006387200.

The previous prime is 3150345959. The next prime is 3150345997. The reversal of 3150345984 is 4895430513.

3150345984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2689719 + ... + 2690889.

Almost surely, 23150345984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3150345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369516032).

3150345984 is an abundant number, since it is smaller than the sum of its proper divisors (5588686080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3150345984 is a wasteful number, since it uses less digits than its factorization.

3150345984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 3150345984 is about 56127.9429874283. The cubic root of 3150345984 is about 1465.9508764351.

The spelling of 3150345984 in words is "three billion, one hundred fifty million, three hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 113 124 128 186 192 226 248 256 339 372 384 452 496 678 744 768 904 992 1171 1356 1488 1808 1984 2342 2712 2976 3503 3513 3616 3968 4684 5424 5952 7006 7026 7232 7936 9368 10509 10848 11904 14012 14052 14464 18736 21018 21696 23808 28024 28104 28928 36301 37472 42036 43392 56048 56208 72602 74944 84072 86784 108903 112096 112416 132323 145204 149888 168144 217806 224192 224832 264646 290408 299776 336288 396969 435612 448384 449664 529292 580816 672576 793938 871224 896768 899328 1058584 1161632 1345152 1587876 1742448 2117168 2323264 2690304 3175752 3484896 4102013 4234336 4646528 6351504 6969792 8204026 8468672 9293056 12306039 12703008 13939584 16408052 16937344 24612078 25406016 27879168 32816104 33874688 49224156 50812032 65632208 98448312 101624064 131264416 196896624 262528832 393793248 525057664 787586496 1050115328 1575172992 3150345984