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34424210112 = 2631729363677
BaseRepresentation
bin100000000011110101…
…111100001011000000
310021212002020001200220
4200003311330023000
51031000044210422
623451514143040
72326030646415
oct400365741300
9107762201626
1034424210112
1113665629626
126808721a80
133327b538c6
141947c6610c
15d67245e5c
hex803d7c2c0

34424210112 has 112 divisors (see below), whose sum is σ = 99764148960. Its totient is φ = 10427318272.

The previous prime is 34424210021. The next prime is 34424210113. The reversal of 34424210112 is 21101242443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34424210113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87183 + ... + 276494.

It is an arithmetic number, because the mean of its divisors is an integer number (890751330).

Almost surely, 234424210112 is an apocalyptic number.

34424210112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34424210112 is an abundant number, since it is smaller than the sum of its proper divisors (65339938848).

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

34424210112 is a wasteful number, since it uses less digits than its factorization.

34424210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363738 (or 363728 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 34424210112 its reverse (21101242443), we get a palindrome (55525452555).

The spelling of 34424210112 in words is "thirty-four billion, four hundred twenty-four million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 136 174 192 204 232 272 348 408 464 493 544 696 816 928 986 1088 1392 1479 1632 1856 1972 2784 2958 3264 3944 5568 5916 7888 11832 15776 23664 31552 47328 94656 363677 727354 1091031 1454708 2182062 2909416 4364124 5818832 6182509 8728248 10546633 11637664 12365018 17456496 18547527 21093266 23275328 24730036 31639899 34912992 37095054 42186532 49460072 63279798 69825984 74190108 84373064 98920144 126559596 148380216 168746128 179292761 197840288 253119192 296760432 337492256 358585522 395680576 506238384 537878283 593520864 674984512 717171044 1012476768 1075756566 1187041728 1434342088 2024953536 2151513132 2868684176 4303026264 5737368352 8606052528 11474736704 17212105056 34424210112