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349875804 = 223191937951
BaseRepresentation
bin10100110110101…
…010111001011100
3220101100112101010
4110312222321130
51204032011204
654415015220
711445616035
oct2466527134
9811315333
10349875804
1116a54a963
129920a510
1357641805
1434677a8c
1520ab1d89
hex14daae5c

349875804 has 48 divisors (see below), whose sum is σ = 863905280. Its totient is φ = 109900800.

The previous prime is 349875767. The next prime is 349875833. The reversal of 349875804 is 408578943.

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, 40029 + ... + 47979.

Almost surely, 2349875804 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 349875804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431952640).

349875804 is an abundant number, since it is smaller than the sum of its proper divisors (514029476).

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

349875804 is a wasteful number, since it uses less digits than its factorization.

349875804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8170 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 349875804 is about 18704.9673616395. The cubic root of 349875804 is about 704.6465065532.

The spelling of 349875804 in words is "three hundred forty-nine million, eight hundred seventy-five thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 193 228 386 579 772 1158 2316 3667 7334 7951 11001 14668 15902 22002 23853 31804 44004 47706 95412 151069 302138 453207 604276 906414 1534543 1812828 3069086 4603629 6138172 9207258 18414516 29156317 58312634 87468951 116625268 174937902 349875804