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3396812958 = 2327117693187
BaseRepresentation
bin1100101001110111…
…0100000010011110
322202201200222101100
43022131310002132
523424041003313
61321021253530
7150114301530
oct31235640236
98681628340
103396812958
111493459940
127a97042a6
1342197b2c6
142431bb850
1514d328173
hexca77409e

3396812958 has 96 divisors (see below), whose sum is σ = 9190621440. Its totient is φ = 880865280.

The previous prime is 3396812957. The next prime is 3396812971. The reversal of 3396812958 is 8592186933.

3396812958 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3396812953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1064241 + ... + 1067427.

It is an arithmetic number, because the mean of its divisors is an integer number (95735640).

Almost surely, 23396812958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3396812958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595310720).

3396812958 is an abundant number, since it is smaller than the sum of its proper divisors (5793808482).

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

3396812958 is a wasteful number, since it uses less digits than its factorization.

3396812958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 3979 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 3396812958 is about 58282.1838815259. The cubic root of 3396812958 is about 1503.2246122830.

The spelling of 3396812958 in words is "three billion, three hundred ninety-six million, eight hundred twelve thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 769 1386 1538 2307 3187 4614 5383 6374 6921 8459 9561 10766 13842 16149 16918 19122 22309 25377 28683 32298 35057 44618 48447 50754 57366 59213 66927 70114 76131 96894 105171 118426 133854 152262 177639 200781 210342 245399 315513 355278 401562 490798 532917 631026 736197 1065834 1472394 2208591 2450803 4417182 4901606 7352409 14704818 17155621 22057227 26958833 34311242 44114454 51466863 53917666 80876499 102933726 154400589 161752998 188711831 242629497 308801178 377423662 485258994 566135493 1132270986 1698406479 3396812958