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3494272516 = 2272236197131
BaseRepresentation
bin1101000001000110…
…0101111000000100
3100000112002102202121
43100101211320010
524124013210031
61334422215324
7152406553300
oct32021457004
910015072677
103494272516
111533475729
12816284544
13438c12697
1425210ad00
15156b7a011
hexd0465e04

3494272516 has 144 divisors (see below), whose sum is σ = 7680258432. Its totient is φ = 1383782400.

The previous prime is 3494272469. The next prime is 3494272549. The reversal of 3494272516 is 6152724943.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26673771 + ... + 26673901.

It is an arithmetic number, because the mean of its divisors is an integer number (53335128).

Almost surely, 23494272516 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 3494272516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840129216).

3494272516 is an abundant number, since it is smaller than the sum of its proper divisors (4185985916).

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

3494272516 is a wasteful number, since it uses less digits than its factorization.

3494272516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 321 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The square root of 3494272516 is about 59112.3719368458. The cubic root of 3494272516 is about 1517.4658425908.

The spelling of 3494272516 in words is "three billion, four hundred ninety-four million, two hundred seventy-two thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 23 28 46 49 61 92 97 98 122 131 161 194 196 244 262 322 388 427 524 644 679 854 917 1127 1358 1403 1708 1834 2231 2254 2716 2806 2989 3013 3668 4462 4508 4753 5612 5917 5978 6026 6419 7991 8924 9506 9821 11834 11956 12052 12707 12838 15617 15982 19012 19642 21091 23668 25414 25676 31234 31964 39284 41419 42182 50828 55937 62468 68747 82838 84364 88949 109319 111874 136091 137494 147637 165676 177898 183793 218638 223748 272182 274988 289933 292261 295274 355796 367586 391559 437276 544364 579866 584522 590548 622643 735172 775127 783118 952637 1159732 1169044 1245286 1286551 1550254 1566236 1905274 2045827 2490572 2573102 3100508 3810548 4091654 5146204 5425889 6668459 8183308 9005857 10851778 13336918 14320789 17827921 18011714 21703556 26673836 28641578 35655842 36023428 37981223 57283156 71311684 75962446 124795447 151924892 249590894 499181788 873568129 1747136258 3494272516