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3452988960 = 25335799303
BaseRepresentation
bin1100110111010000…
…0110111000100000
322220122102000101000
43031310012320200
524032431121320
61330345312000
7151365631131
oct31564067040
98818360330
103452988960
111512138793
12804495600
134304b9845
1424a841c88
15153222c90
hexcdd06e20

3452988960 has 96 divisors (see below), whose sum is σ = 12085476480. Its totient is φ = 920795904.

The previous prime is 3452988953. The next prime is 3452988961. The reversal of 3452988960 is 698892543.

3452988960 is a `hidden beast` number, since 34 + 529 + 8 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3452988897 and 3452988906.

It is not an unprimeable number, because it can be changed into a prime (3452988961) 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, 395332 + ... + 403971.

It is an arithmetic number, because the mean of its divisors is an integer number (125890380).

Almost surely, 23452988960 is an apocalyptic number.

3452988960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3452988960 is an abundant number, since it is smaller than the sum of its proper divisors (8632487520).

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

3452988960 is a wasteful number, since it uses less digits than its factorization.

3452988960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799327 (or 799313 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 3452988960 is about 58762.1388310535. The cubic root of 3452988960 is about 1511.4660498093.

The spelling of 3452988960 in words is "three billion, four hundred fifty-two million, nine hundred eighty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 799303 1598606 2397909 3197212 3996515 4795818 6394424 7193727 7993030 9591636 11989545 12788848 14387454 15986060 19183272 21581181 23979090 25577696 28774908 31972120 35968635 38366544 43162362 47958180 57549816 63944240 71937270 76733088 86324724 95916360 107905905 115099632 127888480 143874540 172649448 191832720 215811810 230199264 287749080 345298896 383665440 431623620 575498160 690597792 863247240 1150996320 1726494480 3452988960