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354164772 = 2231313916333
BaseRepresentation
bin10101000111000…
…010000000100100
3220200102102201210
4111013002000210
51211131233042
655050551420
711530231233
oct2507020044
9820372653
10354164772
11171a0a265
129a738570
13584b3a70
1435072b1a
152115ca9c
hex151c2024

354164772 has 48 divisors (see below), whose sum is σ = 896409920. Its totient is φ = 108183168.

The previous prime is 354164771. The next prime is 354164903. The reversal of 354164772 is 277461453.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 354164772.

It is not an unprimeable number, because it can be changed into a prime (354164771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13518 + ... + 29850.

Almost surely, 2354164772 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 354164772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448204960).

354164772 is an abundant number, since it is smaller than the sum of its proper divisors (542245148).

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

354164772 is a wasteful number, since it uses less digits than its factorization.

354164772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16492 (or 16490 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 354164772 is about 18819.2659793096. The cubic root of 354164772 is about 707.5141340765.

The spelling of 354164772 in words is "three hundred fifty-four million, one hundred sixty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 139 156 278 417 556 834 1668 1807 3614 5421 7228 10842 16333 21684 32666 48999 65332 97998 195996 212329 424658 636987 849316 1273974 2270287 2547948 4540574 6810861 9081148 13621722 27243444 29513731 59027462 88541193 118054924 177082386 354164772