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382434068832 = 253171072190043
BaseRepresentation
bin1011001000010101101…
…10001100100101100000
31100120010111011121110120
411210022312030211200
522231211110200312
6451404321200240
736426033643464
oct5441266144540
91316114147416
10382434068832
1113820a075312
1262150490080
132a0a931a32a
141471d2884a4
159e346d328c
hex590ad8c960

382434068832 has 96 divisors (see below), whose sum is σ = 1072876275072. Its totient is φ = 118857959424.

The previous prime is 382434068831. The next prime is 382434068833. The reversal of 382434068832 is 238860434283.

It is an interprime number because it is at equal distance from previous prime (382434068831) and next prime (382434068833).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382434068831) 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, 920398 + ... + 1269645.

It is an arithmetic number, because the mean of its divisors is an integer number (11175794532).

Almost surely, 2382434068832 is an apocalyptic number.

382434068832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

382434068832 is an abundant number, since it is smaller than the sum of its proper divisors (690442206240).

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

382434068832 is a wasteful number, since it uses less digits than its factorization.

382434068832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190180 (or 2190172 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 51.

The spelling of 382434068832 in words is "three hundred eighty-two billion, four hundred thirty-four million, sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 107 136 204 214 272 321 408 428 544 642 816 856 1284 1632 1712 1819 2568 3424 3638 5136 5457 7276 10272 10914 14552 21828 29104 43656 58208 87312 174624 2190043 4380086 6570129 8760172 13140258 17520344 26280516 35040688 37230731 52561032 70081376 74461462 105122064 111692193 148922924 210244128 223384386 234334601 297845848 446768772 468669202 595691696 703003803 893537544 937338404 1191383392 1406007606 1787075088 1874676808 2812015212 3574150176 3749353616 3983688217 5624030424 7498707232 7967376434 11248060848 11951064651 15934752868 22496121696 23902129302 31869505736 47804258604 63739011472 95608517208 127478022944 191217034416 382434068832