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34200413442 = 232131783103583
BaseRepresentation
bin11111110110100000…
…001110010100000010
310021021111010000101100
4133312200032110002
51030020301212232
623413401315230
72320342501116
oct376640162402
9107244100340
1034200413442
11135602728a8
126765795b16
1332c0687040
14192624b746
15d5278ac7c
hex7f680e502

34200413442 has 96 divisors (see below), whose sum is σ = 85513978368. Its totient is φ = 9784770048.

The previous prime is 34200413419. The next prime is 34200413453. The reversal of 34200413442 is 24431400243.

It is a happy number.

34200413442 is a `hidden beast` number, since 3 + 4 + 200 + 4 + 13 + 442 = 666.

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, 278383 + ... + 381965.

It is an arithmetic number, because the mean of its divisors is an integer number (890770608).

Almost surely, 234200413442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34200413442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42756989184).

34200413442 is an abundant number, since it is smaller than the sum of its proper divisors (51313564926).

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

34200413442 is a wasteful number, since it uses less digits than its factorization.

34200413442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103704 (or 103701 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34200413442 its reverse (24431400243), we get a palindrome (58631813685).

The spelling of 34200413442 in words is "thirty-four billion, two hundred million, four hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 83 102 117 153 166 221 234 249 306 442 498 663 747 1079 1326 1411 1494 1989 2158 2822 3237 3978 4233 6474 8466 9711 12699 18343 19422 25398 36686 55029 103583 110058 165087 207166 310749 330174 621498 932247 1346579 1760911 1864494 2693158 3521822 4039737 5282733 8079474 8597389 10565466 12119211 15848199 17194778 22891843 24238422 25792167 31696398 45783686 51584334 68675529 77376501 111766057 137351058 146155613 154753002 206026587 223532114 292311226 335298171 412053174 438466839 670596342 876933678 1005894513 1315400517 1900022969 2011789026 2630801034 3800045938 5700068907 11400137814 17100206721 34200413442