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234354262453432 = 23112435701987593
BaseRepresentation
bin110101010010010011011010…
…100100001010110010111000
31010201210001022111022210020021
4311102103122210022302320
5221204130012142002212
62150232510100340224
7100235352044132302
oct6522233244126270
91121701274283207
10234354262453432
11687440a2608700
122234b5143a4674
13a09c687199764
1441c2b41cd4972
151c1615b191307
hexd524da90acb8

234354262453432 has 96 divisors (see below), whose sum is σ = 494312089526640. Its totient is φ = 104028990912000.

The previous prime is 234354262453387. The next prime is 234354262453459.

234354262453432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 234354262453432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236804628 + ... + 237792220.

Almost surely, 2234354262453432 is an apocalyptic number.

234354262453432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234354262453432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247156044763320).

234354262453432 is an abundant number, since it is smaller than the sum of its proper divisors (259957827073208).

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

234354262453432 is a wasteful number, since it uses less digits than its factorization.

234354262453432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993365 (or 993350 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 52.

The spelling of 234354262453432 in words is "two hundred thirty-four trillion, three hundred fifty-four billion, two hundred sixty-two million, four hundred fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 43 44 86 88 121 172 242 344 473 484 946 968 1892 3784 5203 5701 10406 11402 20812 22804 41624 45608 62711 125422 245143 250844 490286 501688 689821 980572 987593 1379642 1961144 1975186 2696573 2759284 3950372 5393146 5518568 7900744 10786292 10863523 21572584 21727046 29662303 42466499 43454092 59324606 84932998 86908184 118649212 119498753 169865996 237298424 238997506 339731992 467131489 477995012 934262978 955990024 1868525956 3737051912 5138446379 5630267693 10276892758 11260535386 20553785516 22521070772 41107571032 45042141544 61932944623 123865889246 242101510799 247731778492 484203021598 495463556984 681262390853 968406043196 1362524781706 1936812086392 2663116618789 2725049563412 5326233237578 5450099126824 10652466475156 21304932950312 29294282806679 58588565613358 117177131226716 234354262453432