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34146045252 = 223211412103107
BaseRepresentation
bin11111110011010000…
…110100110101000100
310021010200210211020200
4133303100310311010
51024412341422002
623404140130500
72316112411224
oct376320646504
9107120724220
1034146045252
1113532609210
12674b536a30
1332b232c607
14191cd38084
15d4caebb1c
hex7f3434d44

34146045252 has 72 divisors (see below), whose sum is σ = 96456945312. Its totient is φ = 10094908800.

The previous prime is 34146045239. The next prime is 34146045281. The reversal of 34146045252 is 25254064143.

34146045252 is a `hidden beast` number, since 3 + 41 + 4 + 604 + 5 + 2 + 5 + 2 = 666.

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

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, 1035318 + ... + 1067789.

It is an arithmetic number, because the mean of its divisors is an integer number (1339679796).

Almost surely, 234146045252 is an apocalyptic number.

It is an amenable number.

34146045252 is an abundant number, since it is smaller than the sum of its proper divisors (62310900060).

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

34146045252 is a wasteful number, since it uses less digits than its factorization.

34146045252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103169 (or 2103164 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 34146045252 in words is "thirty-four billion, one hundred forty-six million, forty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1476 1804 2706 4059 5412 8118 16236 2103107 4206214 6309321 8412428 12618642 18927963 23134177 25237284 37855926 46268354 69402531 75711852 86227387 92536708 138805062 172454774 208207593 258682161 277610124 344909548 416415186 517364322 776046483 832830372 948501257 1034728644 1552092966 1897002514 2845503771 3104185932 3794005028 5691007542 8536511313 11382015084 17073022626 34146045252