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334369920 = 2735349499
BaseRepresentation
bin10011111011100…
…001010010000000
3212022011202022010
4103323201102000
51141044314140
653102412520
711200045263
oct2373412200
9768152263
10334369920
1116181a085
1293b91140
1354372b31
143259ccda
151e54c880
hex13ee1480

334369920 has 128 divisors (see below), whose sum is σ = 1071000000. Its totient is φ = 88731648.

The previous prime is 334369909. The next prime is 334369927. The reversal of 334369920 is 29963433.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3343699202 = 223606486801612800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334369927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669831 + ... + 670329.

Almost surely, 2334369920 is an apocalyptic number.

334369920 is a gapful number since it is divisible by the number (30) 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 334369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535500000).

334369920 is an abundant number, since it is smaller than the sum of its proper divisors (736630080).

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

334369920 is a wasteful number, since it uses less digits than its factorization.

334369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 39.

The square root of 334369920 is about 18285.7846427218. The cubic root of 334369920 is about 694.0792596623.

The spelling of 334369920 in words is "three hundred thirty-four million, three hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 349 384 480 499 640 698 960 998 1047 1396 1497 1745 1920 1996 2094 2495 2792 2994 3490 3992 4188 4990 5235 5584 5988 6980 7485 7984 8376 9980 10470 11168 11976 13960 14970 15968 16752 19960 20940 22336 23952 27920 29940 31936 33504 39920 41880 44672 47904 55840 59880 63872 67008 79840 83760 95808 111680 119760 134016 159680 167520 174151 191616 223360 239520 319360 335040 348302 479040 522453 670080 696604 870755 958080 1044906 1393208 1741510 2089812 2612265 2786416 3483020 4179624 5224530 5572832 6966040 8359248 10449060 11145664 13932080 16718496 20898120 22291328 27864160 33436992 41796240 55728320 66873984 83592480 111456640 167184960 334369920