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34156250640 = 2433556927791
BaseRepresentation
bin11111110011110111…
…110000011000010000
310021011102000022102000
4133303313300120100
51024423000010030
623405142554000
72316265224441
oct376367603020
9107142008360
1034156250640
1113538349716
126752a38900
1332b44937c5
1419204332c8
15d4d965860
hex7f3df0610

34156250640 has 160 divisors (see below), whose sum is σ = 117860313600. Its totient is φ = 9091998720.

The previous prime is 34156250563. The next prime is 34156250659. The reversal of 34156250640 is 4605265143.

34156250640 is a `hidden beast` number, since 3 + 4 + 1 + 5 + 6 + 2 + 5 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34156250595 and 34156250604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1215145 + ... + 1242935.

It is an arithmetic number, because the mean of its divisors is an integer number (736626960).

Almost surely, 234156250640 is an apocalyptic number.

34156250640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34156250640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58930156800).

34156250640 is an abundant number, since it is smaller than the sum of its proper divisors (83704062960).

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

34156250640 is a wasteful number, since it uses less digits than its factorization.

34156250640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28382 (or 28370 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 34156250640 in words is "thirty-four billion, one hundred fifty-six million, two hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 569 720 1080 1138 1707 2160 2276 2845 3414 4552 5121 5690 6828 8535 9104 10242 11380 13656 15363 17070 20484 22760 25605 27312 27791 30726 34140 40968 45520 51210 55582 61452 68280 76815 81936 83373 102420 111164 122904 136560 138955 153630 166746 204840 222328 245808 250119 277910 307260 333492 409680 416865 444656 500238 555820 614520 666984 750357 833730 1000476 1111640 1229040 1250595 1333968 1500714 1667460 2000952 2223280 2501190 3001428 3334920 3751785 4001904 5002380 6002856 6669840 7503570 10004760 12005712 15007140 15813079 20009520 30014280 31626158 47439237 60028560 63252316 79065395 94878474 126504632 142317711 158130790 189756948 237196185 253009264 284635422 316261580 379513896 426953133 474392370 569270844 632523160 711588555 759027792 853906266 948784740 1138541688 1265046320 1423177110 1707812532 1897569480 2134765665 2277083376 2846354220 3415625064 3795138960 4269531330 5692708440 6831250128 8539062660 11385416880 17078125320 34156250640