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34254103235004 = 223213124130138509
BaseRepresentation
bin1111100100111011001111…
…01001111100100110111100
311111021122211100110020210100
413302131213221330212330
513442204400412010004
6200504041235241100
710133530416303342
oct762354751744674
9144248740406710
1034254103235004
11aa070a1301084
123a12811a49190
1316161c0422373
14865c9c045992
153e6063e16739
hex1f2767a7c9bc

34254103235004 has 72 divisors (see below), whose sum is σ = 87609755273040. Its totient is φ = 11283857395200.

The previous prime is 34254103234987. The next prime is 34254103235059. The reversal of 34254103235004 is 40053230145243.

34254103235004 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 410 + 3 + 235 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×342541032350042 (a number of 28 digits) contains 22 as substring.

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 34254103235004.

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, 13932699 + ... + 16205810.

It is an arithmetic number, because the mean of its divisors is an integer number (1216802156570).

Almost surely, 234254103235004 is an apocalyptic number.

It is an amenable number.

34254103235004 is an abundant number, since it is smaller than the sum of its proper divisors (53355652038036).

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

34254103235004 is a wasteful number, since it uses less digits than its factorization.

34254103235004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30138891 (or 30138886 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 34254103235004 in words is "thirty-four trillion, two hundred fifty-four billion, one hundred three million, two hundred thirty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 131 241 262 393 482 524 723 786 964 1179 1446 1572 2169 2358 2892 4338 4716 8676 31571 63142 94713 126284 189426 284139 378852 568278 1136556 30138509 60277018 90415527 120554036 180831054 271246581 361662108 542493162 1084986324 3948144679 7263380669 7896289358 11844434037 14526761338 15792578716 21790142007 23688868074 29053522676 35533302111 43580284014 47377736148 65370426021 71066604222 87160568028 130740852042 142133208444 261481704084 951502867639 1903005735278 2854508602917 3806011470556 5709017205834 8563525808751 11418034411668 17127051617502 34254103235004