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334970944 = 26711101673
BaseRepresentation
bin10011111101110…
…100000001000000
3212100022021202021
4103331310001000
51141223032234
653123331224
711205130450
oct2375640100
9770267667
10334970944
1116209a6a0
1294220b14
1354523579
14326b7d60
151e61a9b4
hex13f74040

334970944 has 112 divisors (see below), whose sum is σ = 838175616. Its totient is φ = 129024000.

The previous prime is 334970921. The next prime is 334970959. The reversal of 334970944 is 449079433.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3349709442 = 224411066648502272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334970944.

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, 497392 + ... + 498064.

Almost surely, 2334970944 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 334970944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419087808).

334970944 is an abundant number, since it is smaller than the sum of its proper divisors (503204672).

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

334970944 is a wasteful number, since it uses less digits than its factorization.

334970944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The square root of 334970944 is about 18302.2114510788. The cubic root of 334970944 is about 694.4948757933.

The spelling of 334970944 in words is "three hundred thirty-four million, nine hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 101 112 154 176 202 224 308 352 404 448 616 673 704 707 808 1111 1232 1346 1414 1616 2222 2464 2692 2828 3232 4444 4711 4928 5384 5656 6464 7403 7777 8888 9422 10768 11312 14806 15554 17776 18844 21536 22624 29612 31108 35552 37688 43072 45248 51821 59224 62216 67973 71104 75376 103642 118448 124432 135946 150752 207284 236896 248864 271892 301504 414568 473792 475811 497728 543784 747703 829136 951622 1087568 1495406 1658272 1903244 2175136 2990812 3316544 3806488 4350272 5233921 5981624 7612976 10467842 11963248 15225952 20935684 23926496 30451904 41871368 47852992 83742736 167485472 334970944