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2934633042 = 23211311792671
BaseRepresentation
bin1010111011101010…
…1111001001010010
321120112000210201200
42232322233021102
522002231224132
61203111212030
7132502653315
oct25672571122
97515023650
102934633042
111276584270
1269a977016
13379ca8773
141dba6c97c
15122980d7c
hexaeeaf252

2934633042 has 96 divisors (see below), whose sum is σ = 7202856960. Its totient is φ = 855468000.

The previous prime is 2934633017. The next prime is 2934633103. The reversal of 2934633042 is 2403364392.

2934633042 is a `hidden beast` number, since 2 + 9 + 346 + 3 + 304 + 2 = 666.

It is a super-2 number, since 2×29346330422 = 17224142182396347528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2934632988 and 2934633006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1097367 + ... + 1100037.

It is an arithmetic number, because the mean of its divisors is an integer number (75029760).

Almost surely, 22934633042 is an apocalyptic number.

2934633042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2934633042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601428480).

2934633042 is an abundant number, since it is smaller than the sum of its proper divisors (4268223918).

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

2934633042 is a wasteful number, since it uses less digits than its factorization.

2934633042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 2934633042 is about 54172.2534329153. The cubic root of 2934633042 is about 1431.6975036097.

The spelling of 2934633042 in words is "two billion, nine hundred thirty-four million, six hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 179 186 198 279 341 358 537 558 682 1023 1074 1611 1969 2046 2671 3069 3222 3938 5342 5549 5907 6138 8013 11098 11814 16026 16647 17721 24039 29381 33294 35442 48078 49941 58762 61039 82801 88143 99882 122078 165602 176286 183117 248403 264429 366234 478109 496806 528858 549351 745209 910811 956218 1098702 1434327 1490418 1821622 2732433 2868654 4302981 5259199 5464866 8197299 8605962 10518398 14821379 15777597 16394598 29642758 31555194 44464137 47332791 88928274 94665582 133392411 163035169 266784822 326070338 489105507 978211014 1467316521 2934633042