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349926372 = 223319716447
BaseRepresentation
bin10100110110110…
…111001111100100
3220101110002202000
4110312313033210
51204040120442
654420045300
711446216335
oct2466671744
9811402660
10349926372
1116a584954
1299233830
135765b833
143468c28c
1520ac1d4c
hex14db73e4

349926372 has 48 divisors (see below), whose sum is σ = 911877120. Its totient is φ = 116042976.

The previous prime is 349926361. The next prime is 349926377. The reversal of 349926372 is 273629943.

349926372 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 2 + 637 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (349926377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13053 + ... + 29499.

It is an arithmetic number, because the mean of its divisors is an integer number (18997440).

Almost surely, 2349926372 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 349926372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455938560).

349926372 is an abundant number, since it is smaller than the sum of its proper divisors (561950748).

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

349926372 is a wasteful number, since it uses less digits than its factorization.

349926372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16657 (or 16649 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 349926372 is about 18706.3190392979. The cubic root of 349926372 is about 704.6804527398.

It can be divided in two parts, 3499263 and 72, that added together give a triangular number (3499335 = T2645).

The spelling of 349926372 in words is "three hundred forty-nine million, nine hundred twenty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 197 394 591 788 1182 1773 2364 3546 5319 7092 10638 16447 21276 32894 49341 65788 98682 148023 197364 296046 444069 592092 888138 1776276 3240059 6480118 9720177 12960236 19440354 29160531 38880708 58321062 87481593 116642124 174963186 349926372