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334906468032 = 2632375839327
BaseRepresentation
bin1001101111110011111…
…10110010011011000000
31012000110012121022221110
410313321332302123000
520441342023434112
6413504235523320
733124203002613
oct4677176623300
91160405538843
10334906468032
1111a03aa74394
1254aa75b9540
1325773864b16
14122d106217a
158aa1e1613c
hex4df9fb26c0

334906468032 has 56 divisors (see below), whose sum is σ = 924633086976. Its totient is φ = 106781771008.

The previous prime is 334906468019. The next prime is 334906468049. The reversal of 334906468032 is 230864609433.

It is a happy number.

It is a super-2 number, since 2×3349064680322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37915248 + ... + 37924079.

Almost surely, 2334906468032 is an apocalyptic number.

334906468032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

334906468032 is an abundant number, since it is smaller than the sum of its proper divisors (589726618944).

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

334906468032 is a wasteful number, since it uses less digits than its factorization.

334906468032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75839365 (or 75839355 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 334906468032 in words is "three hundred thirty-four billion, nine hundred six million, four hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 75839327 151678654 227517981 303357308 455035962 606714616 910071924 1213429232 1744304521 1820143848 2426858464 3488609042 3640287696 4853716928 5232913563 6977218084 7280575392 10465827126 13954436168 14561150784 20931654252 27908872336 41863308504 55817744672 83726617008 111635489344 167453234016 334906468032