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10434514230 = 233572788701
BaseRepresentation
bin10011011011111001…
…00000110100110110
3222221012101020121000
421231330200310312
5132332213423410
64443223504130
7516401623200
oct115574406466
928835336530
1010434514230
114475013a88
1220325b8046
13ca3a2469a
1470db4d770
154110dcdc0
hex26df20d36

10434514230 has 96 divisors (see below), whose sum is σ = 32368330080. Its totient is φ = 2385028800.

The previous prime is 10434514229. The next prime is 10434514249. The reversal of 10434514230 is 3241543401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10434514194 and 10434514203.

It is a congruent number.

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, 381121 + ... + 407580.

It is an arithmetic number, because the mean of its divisors is an integer number (337170105).

Almost surely, 210434514230 is an apocalyptic number.

10434514230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10434514230 is an abundant number, since it is smaller than the sum of its proper divisors (21933815850).

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

10434514230 is a wasteful number, since it uses less digits than its factorization.

10434514230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788731 (or 788718 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 10434514230 in words is "ten billion, four hundred thirty-four million, five hundred fourteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1323 1470 1890 2205 2646 4410 6615 13230 788701 1577402 2366103 3943505 4732206 5520907 7098309 7887010 11041814 11830515 14196618 16562721 21294927 23661030 27604535 33125442 35491545 38646349 42589854 49688163 55209070 70983090 77292698 82813605 99376326 106474635 115939047 149064489 165627210 193231745 212949270 231878094 248440815 298128978 347817141 386463490 496881630 579695235 695634282 745322445 1043451423 1159390470 1490644890 1739085705 2086902846 3478171410 5217257115 10434514230