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379295400312 = 233217697144453
BaseRepresentation
bin1011000010011111100…
…01001000000101111000
31100021000202012201200100
411201033301020011320
522203244110302222
6450125040435400
736255202464423
oct5411761100570
91307022181610
10379295400312
11136949402194
1261615318b60
13299c8ca381a
14145024a69ba
159cedd9c4ac
hex584fc48178

379295400312 has 96 divisors (see below), whose sum is σ = 1087865840880. Its totient is φ = 118974888960.

The previous prime is 379295400301. The next prime is 379295400313. The reversal of 379295400312 is 213004592973.

379295400312 is a `hidden beast` number, since 3 + 7 + 9 + 295 + 40 + 0 + 312 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379295400313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8510278 + ... + 8554730.

Almost surely, 2379295400312 is an apocalyptic number.

It is an amenable number.

379295400312 is an abundant number, since it is smaller than the sum of its proper divisors (708570440568).

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

379295400312 is a wasteful number, since it uses less digits than its factorization.

379295400312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51453 (or 51446 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 379295400312 in words is "three hundred seventy-nine billion, two hundred ninety-five million, four hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 6971 13942 20913 27884 41826 44453 55768 62739 83652 88906 118507 125478 133359 167304 177812 237014 250956 266718 355521 355624 400077 474028 501912 533436 711042 755701 800154 948056 1066563 1066872 1422084 1511402 1600308 2133126 2267103 2844168 3022804 3200616 4266252 4534206 6045608 6801309 8532504 9068412 13602618 18136824 27205236 54410472 309881863 619763726 929645589 1239527452 1859291178 2479054904 2788936767 3718582356 5267991671 5577873534 7437164712 10535983342 11155747068 15803975013 21071966684 22311494136 31607950026 42143933368 47411925039 63215900052 94823850078 126431800104 189647700156 379295400312