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3077568 = 263313137
BaseRepresentation
bin1011101111010111000000
312210100122000
423233113000
51241440233
6145544000
735105334
oct13572700
95710560
103077568
11181224a
121045000
13839a60
145a17c4
1540bd13
hex2ef5c0

3077568 has 112 divisors (see below), whose sum is σ = 9814560. Its totient is φ = 940032.

The previous prime is 3077539. The next prime is 3077573. The reversal of 3077568 is 8657703.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 22396 + ... + 22532.

It is an arithmetic number, because the mean of its divisors is an integer number (87630).

Almost surely, 23077568 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 3077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907280).

3077568 is an abundant number, since it is smaller than the sum of its proper divisors (6736992).

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

3077568 is a wasteful number, since it uses less digits than its factorization.

3077568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3077568 is about 1754.2998603432. The cubic root of 3077568 is about 145.4574219128.

It can be divided in two parts, 307 and 7568, that added together give a triangular number (7875 = T125).

The spelling of 3077568 in words is "three million, seventy-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 137 144 156 192 208 216 234 274 288 312 351 411 416 432 468 548 576 624 702 822 832 864 936 1096 1233 1248 1404 1644 1728 1781 1872 2192 2466 2496 2808 3288 3562 3699 3744 4384 4932 5343 5616 6576 7124 7398 7488 8768 9864 10686 11232 13152 14248 14796 16029 19728 21372 22464 26304 28496 29592 32058 39456 42744 48087 56992 59184 64116 78912 85488 96174 113984 118368 128232 170976 192348 236736 256464 341952 384696 512928 769392 1025856 1538784 3077568