Search a number
-
+
10347030960 = 2435717362291
BaseRepresentation
bin10011010001011101…
…10010100110110000
3222201002202122002220
421220232302212300
5132142314442320
64430420441040
7514260212010
oct115056624660
928632678086
1010347030960
11442a6a1562
122009249180
13c8b874136
14702299c40
154085abe40
hex268bb29b0

10347030960 has 160 divisors (see below), whose sum is σ = 38814515712. Its totient is φ = 2225909760.

The previous prime is 10347030929. The next prime is 10347030971. The reversal of 10347030960 is 6903074301.

It is a super-2 number, since 2×103470309602 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152586 + ... + 209705.

Almost surely, 210347030960 is an apocalyptic number.

10347030960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10347030960 is an abundant number, since it is smaller than the sum of its proper divisors (28467484752).

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

10347030960 is a wasteful number, since it uses less digits than its factorization.

10347030960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362331 (or 362325 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The spelling of 10347030960 in words is "ten billion, three hundred forty-seven million, thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1680 1785 1904 2040 2380 2856 3570 4080 4760 5712 7140 9520 14280 28560 362291 724582 1086873 1449164 1811455 2173746 2536037 2898328 3622910 4347492 5072074 5434365 5796656 6158947 7245820 7608111 8694984 10144148 10868730 12317894 12680185 14491640 15216222 17389968 18476841 20288296 21737460 24635788 25360370 28983280 30432444 30794735 36953682 38040555 40576592 43112629 43474920 49271576 50720740 60864888 61589470 73907364 76081110 86225258 86949840 92384205 98543152 101441480 121729776 123178940 129337887 147814728 152162220 172450516 184768410 202882960 215563145 246357880 258675774 295629456 304324440 344901032 369536820 431126290 492715760 517351548 608648880 646689435 689802064 739073640 862252580 1034703096 1293378870 1478147280 1724505160 2069406192 2586757740 3449010320 5173515480 10347030960