Search a number
-
+
34454215520 = 2551741308951
BaseRepresentation
bin100000000101101000…
…011001101101100000
310021221011200111101022
4200011220121231200
51031030234344040
623454505225012
72326543666634
oct400550315540
9107834614338
1034454215520
111368056308a
126816792168
13333112b19a
14194bc36dc4
15d69bc16b5
hex805a19b60

34454215520 has 96 divisors (see below), whose sum is σ = 88288595136. Its totient is φ = 12654592000.

The previous prime is 34454215519. The next prime is 34454215597. The reversal of 34454215520 is 2551245443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42956 + ... + 265995.

It is an arithmetic number, because the mean of its divisors is an integer number (919672866).

Almost surely, 234454215520 is an apocalyptic number.

It is an amenable number.

34454215520 is an abundant number, since it is smaller than the sum of its proper divisors (53834379616).

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

34454215520 is a wasteful number, since it uses less digits than its factorization.

34454215520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309024 (or 309016 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 34454215520 in words is "thirty-four billion, four hundred fifty-four million, two hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 68 80 82 85 136 160 164 170 205 272 328 340 410 544 656 680 697 820 1312 1360 1394 1640 2720 2788 3280 3485 5576 6560 6970 11152 13940 22304 27880 55760 111520 308951 617902 1235804 1544755 2471608 3089510 4943216 5252167 6179020 9886432 10504334 12358040 12666991 21008668 24716080 25333982 26260835 42017336 49432160 50667964 52521670 63334955 84034672 101335928 105043340 126669910 168069344 202671856 210086680 215338847 253339820 405343712 420173360 430677694 506679640 840346720 861355388 1013359280 1076694235 1722710776 2026718560 2153388470 3445421552 4306776940 6890843104 8613553880 17227107760 34454215520