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30362821944 = 23371323958169
BaseRepresentation
bin11100010001110000…
…111110010100111000
32220101001000011111220
4130101300332110320
5444140340300234
621540512352040
72123263504530
oct342160762470
986331004456
1030362821944
1111971026584
125a74545620
132b2b5ba440
1416806d24c0
15bca8e6a49
hex711c3e538

30362821944 has 128 divisors (see below), whose sum is σ = 93816576000. Its totient is φ = 7974134784.

The previous prime is 30362821913. The next prime is 30362821963. The reversal of 30362821944 is 44912826303.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 30362821896 and 30362821905.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 492892 + ... + 551060.

It is an arithmetic number, because the mean of its divisors is an integer number (732942000).

Almost surely, 230362821944 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 30362821944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46908288000).

30362821944 is an abundant number, since it is smaller than the sum of its proper divisors (63453754056).

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

30362821944 is a wasteful number, since it uses less digits than its factorization.

30362821944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58437 (or 58433 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 30362821944 in words is "thirty billion, three hundred sixty-two million, eight hundred twenty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 239 273 312 364 478 546 717 728 956 1092 1434 1673 1912 2184 2868 3107 3346 5019 5736 6214 6692 9321 10038 12428 13384 18642 20076 21749 24856 37284 40152 43498 58169 65247 74568 86996 116338 130494 173992 174507 232676 260988 349014 407183 465352 521976 698028 756197 814366 1221549 1396056 1512394 1628732 2268591 2443098 3024788 3257464 4537182 4886196 5293379 6049576 9074364 9772392 10586758 13902391 15880137 18148728 21173516 27804782 31760274 41707173 42347032 55609564 63520548 83414346 97316737 111219128 127041096 166828692 180731083 194633474 291950211 333657384 361462166 389266948 542193249 583900422 722924332 778533896 1084386498 1167800844 1265117581 1445848664 2168772996 2335601688 2530235162 3795352743 4337545992 5060470324 7590705486 10120940648 15181410972 30362821944