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2329413696 = 263220112
BaseRepresentation
bin1000101011011000…
…0000100001000000
320000100012110212100
42022312000201000
514232312214241
61023051230400
7111503455401
oct21266004100
96010173770
102329413696
11a95990a95
12550148400
132b17a32cc
141815279a8
15d97819b6
hex8ad80840

2329413696 has 63 divisors (see below), whose sum is σ = 6680165583. Its totient is φ = 776085120.

The previous prime is 2329413689. The next prime is 2329413703. The reversal of 2329413696 is 6963149232.

The square root of 2329413696 is 48264.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2329413689) and next prime (2329413703).

It is a super-2 number, since 2×23294136962 = 10852336334224760832, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1157331 + ... + 1159341.

Almost surely, 22329413696 is an apocalyptic number.

2329413696 is the 48264-th square number.

It is an amenable number.

2329413696 is an abundant number, since it is smaller than the sum of its proper divisors (4350751887).

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

2329413696 is an frugal number, since it uses more digits than its factorization.

2329413696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 2016 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The cubic root of 2329413696 is about 1325.6092977486.

Multiplying 2329413696 by its product of digits (419904), we get a square (978130128605184 = 312750722).

It can be divided in two parts, 2329 and 413696, that added together give a square (416025 = 6452).

The spelling of 2329413696 in words is "two billion, three hundred twenty-nine million, four hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2011 4022 6033 8044 12066 16088 18099 24132 32176 36198 48264 64352 72396 96528 128704 144792 193056 289584 386112 579168 1158336 4044121 8088242 12132363 16176484 24264726 32352968 36397089 48529452 64705936 72794178 97058904 129411872 145588356 194117808 258823744 291176712 388235616 582353424 776471232 1164706848 2329413696