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349160796 = 2232194571117
BaseRepresentation
bin10100110011111…
…100010101011100
3220100000012120100
4110303330111130
51203341121141
654351421100
711436550335
oct2463742534
9810005510
10349160796
1116a101746
1298b24790
135745122a
143452d28c
15209c00b6
hex14cfc55c

349160796 has 72 divisors (see below), whose sum is σ = 931920080. Its totient is φ = 109921536.

The previous prime is 349160771. The next prime is 349160821. The reversal of 349160796 is 697061943.

349160796 is a `hidden beast` number, since 34 + 9 + 1 + 607 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (349160771) and next prime (349160821).

It is a super-2 number, since 2×3491607962 = 243826522926707232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312030 + ... + 313146.

Almost surely, 2349160796 is an apocalyptic number.

349160796 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349160796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465960040).

349160796 is an abundant number, since it is smaller than the sum of its proper divisors (582759284).

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

349160796 is a wasteful number, since it uses less digits than its factorization.

349160796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 349160796 is about 18685.8448029518. The cubic root of 349160796 is about 704.1661727869.

The spelling of 349160796 in words is "three hundred forty-nine million, one hundred sixty thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 457 684 914 1117 1371 1828 2234 2742 3351 4113 4468 5484 6702 8226 8683 10053 13404 16452 17366 20106 21223 26049 34732 40212 42446 52098 63669 78147 84892 104196 127338 156294 191007 254676 312588 382014 510469 764028 1020938 1531407 2041876 3062814 4594221 6125628 9188442 9698911 18376884 19397822 29096733 38795644 58193466 87290199 116386932 174580398 349160796