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34138238004 = 223213312353063
BaseRepresentation
bin11111110010110011…
…000010110000110100
310021010011010011201100
4133302303002300310
51024403342104004
623403300530100
72315656143453
oct376263026064
9107104104640
1034138238004
1113529166542
1267489b0930
1332b0827b40
14191bca4b9a
15d4c0a8739
hex7f2cc2c34

34138238004 has 72 divisors (see below), whose sum is σ = 95929713152. Its totient is φ = 10165227840.

The previous prime is 34138237957. The next prime is 34138238021. The reversal of 34138238004 is 40083283143.

It is a happy number.

34138238004 is a `hidden beast` number, since 3 + 413 + 8 + 238 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34138238004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1162024 + ... + 1191039.

Almost surely, 234138238004 is an apocalyptic number.

It is an amenable number.

34138238004 is an abundant number, since it is smaller than the sum of its proper divisors (61791475148).

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

34138238004 is a wasteful number, since it uses less digits than its factorization.

34138238004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353117 (or 2353112 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 34138238004 in words is "thirty-four billion, one hundred thirty-eight million, two hundred thirty-eight thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4836 7254 14508 2353063 4706126 7059189 9412252 14118378 21177567 28236756 30589819 42355134 61179638 72944953 84710268 91769457 122359276 145889906 183538914 218834859 275308371 291779812 367077828 437669718 550616742 656504577 875339436 948284389 1101233484 1313009154 1896568778 2626018308 2844853167 3793137556 5689706334 8534559501 11379412668 17069119002 34138238004