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2340028624 = 242814611129
BaseRepresentation
bin1000101101111010…
…0000000011010000
320001002011202210211
42023132200003100
514243021403444
61024110533504
7111662625613
oct21336400320
96032152724
102340028624
11aa098115a
12553807294
132b3a4ba2b
14182acc17a
15da67bc34
hex8b7a00d0

2340028624 has 40 divisors (see below), whose sum is σ = 4563848520. Its totient is φ = 1162291200.

The previous prime is 2340028577. The next prime is 2340028661. The reversal of 2340028624 is 4268200432.

It can be written as a sum of positive squares in 4 ways, for example, as 49449024 + 2290579600 = 7032^2 + 47860^2 .

It is a super-2 number, since 2×23400286242 = 10951467922278666752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2072092 + ... + 2073220.

It is an arithmetic number, because the mean of its divisors is an integer number (114096213).

Almost surely, 22340028624 is an apocalyptic number.

It is an amenable number.

2340028624 is a deficient number, since it is larger than the sum of its proper divisors (2223819896).

2340028624 is a wasteful number, since it uses less digits than its factorization.

2340028624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 2340028624 is about 48373.8423530734. The cubic root of 2340028624 is about 1327.6198075779.

The spelling of 2340028624 in words is "two billion, three hundred forty million, twenty-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 281 461 562 922 1124 1129 1844 2248 2258 3688 4496 4516 7376 9032 18064 129541 259082 317249 518164 520469 634498 1036328 1040938 1268996 2072656 2081876 2537992 4163752 5075984 8327504 146251789 292503578 585007156 1170014312 2340028624