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34949391312 = 24311194497759
BaseRepresentation
bin100000100011001001…
…010110001111010000
310100012200110000212110
4200203021112033100
51033034021010222
624015554425320
72345035632063
oct404311261720
9110180400773
1034949391312
1113905024a80
126934592240
1333ac8b4504
1419978d48da
15d983d530c
hex8232563d0

34949391312 has 160 divisors (see below), whose sum is σ = 103921920000. Its totient is φ = 10009681920.

The previous prime is 34949391287. The next prime is 34949391317. The reversal of 34949391312 is 21319394943.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34949391317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4500489 + ... + 4508247.

It is an arithmetic number, because the mean of its divisors is an integer number (649512000).

Almost surely, 234949391312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34949391312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51960960000).

34949391312 is an abundant number, since it is smaller than the sum of its proper divisors (68972528688).

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

34949391312 is a wasteful number, since it uses less digits than its factorization.

34949391312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8249 (or 8243 counting only the distinct ones).

The product of its digits is 629856, while the sum is 48.

The spelling of 34949391312 in words is "thirty-four billion, nine hundred forty-nine million, three hundred ninety-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 449 456 528 627 836 898 912 1254 1347 1672 1796 2508 2694 3344 3592 4939 5016 5388 7184 7759 8531 9878 10032 10776 14817 15518 17062 19756 21552 23277 25593 29634 31036 34124 39512 46554 51186 59268 62072 68248 79024 85349 93108 93841 102372 118536 124144 136496 147421 170698 186216 187682 204744 237072 256047 281523 294842 341396 372432 375364 409488 442263 512094 563046 589684 682792 750728 884526 1024188 1126092 1179368 1365584 1501456 1621631 1769052 2048376 2252184 2358736 3243262 3483791 3538104 4096752 4504368 4864893 6486524 6967582 7076208 9729786 10451373 12973048 13935164 19459572 20902746 25946096 27870328 38321701 38919144 41805492 55740656 66192029 76643402 77838288 83610984 114965103 132384058 153286804 167221968 198576087 229930206 264768116 306573608 397152174 459860412 529536232 613147216 728112319 794304348 919720824 1059072464 1456224638 1588608696 1839441648 2184336957 2912449276 3177217392 4368673914 5824898552 8737347828 11649797104 17474695656 34949391312