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3437096704 = 28292331987
BaseRepresentation
bin1100110011011101…
…1110111100000000
322212112111121021221
43030313132330000
524014344043304
61325020524424
7151113561046
oct31467367400
98775447257
103437096704
111504173698
127bb0b0714
1342a114042
142486a6396
15151b34054
hexccddef00

3437096704 has 72 divisors (see below), whose sum is σ = 7131393360. Its totient is φ = 1651335168.

The previous prime is 3437096681. The next prime is 3437096711. The reversal of 3437096704 is 4076907343.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1728799 + ... + 1730785.

It is an arithmetic number, because the mean of its divisors is an integer number (99047130).

Almost surely, 23437096704 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 3437096704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565696680).

3437096704 is an abundant number, since it is smaller than the sum of its proper divisors (3694296656).

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

3437096704 is a wasteful number, since it uses less digits than its factorization.

3437096704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 43.

The square root of 3437096704 is about 58626.7575770654. The cubic root of 3437096704 is about 1509.1436607609.

The spelling of 3437096704 in words is "three billion, four hundred thirty-seven million, ninety-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 233 256 464 466 928 932 1856 1864 1987 3712 3728 3974 6757 7424 7456 7948 13514 14912 15896 27028 29824 31792 54056 57623 59648 63584 108112 115246 127168 216224 230492 254336 432448 460984 462971 508672 864896 921968 925942 1729792 1843936 1851884 3687872 3703768 7375744 7407536 13426159 14751488 14815072 26852318 29630144 53704636 59260288 107409272 118520576 214818544 429637088 859274176 1718548352 3437096704