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3481639800 = 2335219305407
BaseRepresentation
bin1100111110000101…
…1001101101111000
322222122022121221020
43033201121231320
524112244433200
61333251342440
7152164310232
oct31741315570
98878277836
103481639800
111527327571
12811bb1a20
1343640b6c2
1425057d252
151559d1ea0
hexcf859b78

3481639800 has 96 divisors (see below), whose sum is σ = 11361177600. Its totient is φ = 879569280.

The previous prime is 3481639757. The next prime is 3481639807. The reversal of 3481639800 is 89361843.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481639807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141304 + ... + 164103.

It is an arithmetic number, because the mean of its divisors is an integer number (118345600).

Almost surely, 23481639800 is an apocalyptic number.

3481639800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3481639800 is an abundant number, since it is smaller than the sum of its proper divisors (7879537800).

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

3481639800 is a wasteful number, since it uses less digits than its factorization.

3481639800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305445 (or 305436 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 3481639800 is about 59005.4217847818. The cubic root of 3481639800 is about 1515.6349547934.

The spelling of 3481639800 in words is "three billion, four hundred eighty-one million, six hundred thirty-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 305407 610814 916221 1221628 1527035 1832442 2443256 3054070 3664884 4581105 5802733 6108140 7329768 7635175 9162210 11605466 12216280 15270350 17408199 18324420 22905525 23210932 29013665 30540700 34816398 36648840 45811050 46421864 58027330 61081400 69632796 87040995 91622100 116054660 139265592 145068325 174081990 183244200 232109320 290136650 348163980 435204975 580273300 696327960 870409950 1160546600 1740819900 3481639800