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10343620404 = 22331322333037
BaseRepresentation
bin10011010001000011…
…10001111100110100
3222200212100100201000
421220201301330310
5132140431323104
64430215403300
7514216215465
oct115041617464
928625310630
1010343620404
114428782117
122008083530
13c8ac4b960
14701a4cd6c
15408136639
hex268871f34

10343620404 has 96 divisors (see below), whose sum is σ = 29010007040. Its totient is φ = 3168284544.

The previous prime is 10343620381. The next prime is 10343620409. The reversal of 10343620404 is 40402634301.

10343620404 is a `hidden beast` number, since 1 + 0 + 34 + 3 + 620 + 4 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10343620409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296574 + ... + 329610.

Almost surely, 210343620404 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 10343620404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14505003520).

10343620404 is an abundant number, since it is smaller than the sum of its proper divisors (18666386636).

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

10343620404 is a wasteful number, since it uses less digits than its factorization.

10343620404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33286 (or 33278 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 10343620404 in words is "ten billion, three hundred forty-three million, six hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 223 234 351 446 468 669 702 892 1338 1404 2007 2676 2899 4014 5798 6021 8028 8697 11596 12042 17394 24084 26091 33037 34788 52182 66074 78273 99111 104364 132148 156546 198222 297333 313092 396444 429481 594666 858962 891999 1189332 1288443 1717924 1783998 2576886 3567996 3865329 5153772 7367251 7730658 11595987 14734502 15461316 22101753 23191974 29469004 44203506 46383948 66305259 88407012 95774263 132610518 191548526 198915777 265221036 287322789 383097052 397831554 574645578 795663108 861968367 1149291156 1723936734 2585905101 3447873468 5171810202 10343620404