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3452912640 = 21032574933
BaseRepresentation
bin1100110111001111…
…0100010000000000
322220122021010200100
43031303310100000
524032421201030
61330343522400
7151365162462
oct31563642000
98818233610
103452912640
111512096411
12804459400
13430490b98
1424a822132
1515320a360
hexcdcf4400

3452912640 has 132 divisors (see below), whose sum is σ = 11964412044. Its totient is φ = 920764416.

The previous prime is 3452912633. The next prime is 3452912681. The reversal of 3452912640 is 462192543.

It is a happy number.

3452912640 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 9 + 1 + 2 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1302921216 + 2149991424 = 36096^2 + 46368^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3452912595 and 3452912604.

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, 8614 + ... + 83546.

Almost surely, 23452912640 is an apocalyptic number.

3452912640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3452912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982206022).

3452912640 is an abundant number, since it is smaller than the sum of its proper divisors (8511499404).

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

3452912640 is a wasteful number, since it uses less digits than its factorization.

3452912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74964 (or 74943 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3452912640 is about 58761.4894297277. The cubic root of 3452912640 is about 1511.4549139557.

The spelling of 3452912640 in words is "three billion, four hundred fifty-two million, nine hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 74933 149866 224799 299732 374665 449598 599464 674397 749330 899196 1123995 1198928 1348794 1498660 1798392 2247990 2397856 2697588 2997320 3371985 3596784 4495980 4795712 5395176 5994640 6743970 7193568 8991960 9591424 10790352 11989280 13487940 14387136 17983920 19182848 21580704 23978560 26975880 28774272 35967840 38365696 43161408 47957120 53951760 57548544 71935680 76731392 86322816 95914240 107903520 115097088 143871360 172645632 191828480 215807040 230194176 287742720 345291264 383656960 431614080 575485440 690582528 863228160 1150970880 1726456320 3452912640