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2424370104 = 2332132590139
BaseRepresentation
bin1001000010000000…
…1111001110111000
320020221212202120100
42100200033032320
514431114320404
61040322355400
7114035543262
oct22040171670
96227782510
102424370104
111034548162
12577abbb60
132c836c230
1418dda4b32
15e2c8bd39
hex9080f3b8

2424370104 has 48 divisors (see below), whose sum is σ = 7071082200. Its totient is φ = 745959744.

The previous prime is 2424370099. The next prime is 2424370133. The reversal of 2424370104 is 4010734242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1294134 + ... + 1296005.

Almost surely, 22424370104 is an apocalyptic number.

2424370104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2424370104 is an abundant number, since it is smaller than the sum of its proper divisors (4646712096).

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

2424370104 is a wasteful number, since it uses less digits than its factorization.

2424370104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590164 (or 2590157 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2424370104 is about 49237.8929687289. The cubic root of 2424370104 is about 1343.3823559758.

The spelling of 2424370104 in words is "two billion, four hundred twenty-four million, three hundred seventy thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2590139 5180278 7770417 10360556 15540834 20721112 23311251 31081668 33671807 46622502 62163336 67343614 93245004 101015421 134687228 186490008 202030842 269374456 303046263 404061684 606092526 808123368 1212185052 2424370104