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334426992 = 2431723103173
BaseRepresentation
bin10011111011101…
…111001101110000
3212022021122120220
4103323233031300
51141103130432
653103533040
711200403544
oct2373571560
9768248526
10334426992
11161858a49
1293bba180
1354392ac3
14325b5a24
151e55e72c
hex13eef370

334426992 has 160 divisors (see below), whose sum is σ = 969366528. Its totient is φ = 98807808.

The previous prime is 334426973. The next prime is 334427021. The reversal of 334426992 is 299624433.

It is a super-2 number, since 2×3344269922 = 223682825956336128, 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 31 ways as a sum of consecutive naturals, for example, 1933018 + ... + 1933190.

Almost surely, 2334426992 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 334426992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484683264).

334426992 is an abundant number, since it is smaller than the sum of its proper divisors (634939536).

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

334426992 is a wasteful number, since it uses less digits than its factorization.

334426992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 334426992 is about 18287.3451326320. The cubic root of 334426992 is about 694.1187471038.

The spelling of 334426992 in words is "three hundred thirty-four million, four hundred twenty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 103 136 138 173 184 204 206 272 276 309 346 368 391 408 412 519 552 618 692 782 816 824 1038 1104 1173 1236 1384 1564 1648 1751 2076 2346 2369 2472 2768 2941 3128 3502 3979 4152 4692 4738 4944 5253 5882 6256 7004 7107 7958 8304 8823 9384 9476 10506 11764 11937 14008 14214 15916 17646 17819 18768 18952 21012 23528 23874 28016 28428 31832 35292 35638 37904 40273 42024 47056 47748 53457 56856 63664 67643 70584 71276 80546 84048 95496 106914 113712 120819 135286 141168 142552 161092 190992 202929 213828 241638 270572 285104 302923 322184 405858 409837 427656 483276 541144 605846 644368 811716 819674 855312 908769 966552 1082288 1211692 1229511 1623432 1639348 1817538 1933104 2423384 2459022 3246864 3278696 3635076 4846768 4918044 6557392 6967229 7270152 9836088 13934458 14540304 19672176 20901687 27868916 41803374 55737832 83606748 111475664 167213496 334426992