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3421698624 = 263241144889
BaseRepresentation
bin1100101111110010…
…1111101001000000
322211110112022002200
43023330233221000
524001423323444
61323310513200
7150535646511
oct31374575100
98743468080
103421698624
1114a6506903
127b5b05800
13426b82456
14246618a08
151505e1969
hexcbf2fa40

3421698624 has 84 divisors (see below), whose sum is σ = 10046962380. Its totient is φ = 1112739840.

The previous prime is 3421698611. The next prime is 3421698629. The reversal of 3421698624 is 4268961243.

3421698624 is a `hidden beast` number, since 3 + 4 + 2 + 16 + 9 + 8 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1117698624 + 2304000000 = 33432^2 + 48000^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3421698624.

It is not an unprimeable number, because it can be changed into a prime (3421698629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48829 + ... + 96060.

It is an arithmetic number, because the mean of its divisors is an integer number (119606695).

Almost surely, 23421698624 is an apocalyptic number.

It is an amenable number.

3421698624 is an abundant number, since it is smaller than the sum of its proper divisors (6625263756).

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

3421698624 is a wasteful number, since it uses less digits than its factorization.

3421698624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144948 (or 144935 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 3421698624 is about 58495.2871947818. The cubic root of 3421698624 is about 1506.8866489911.

The spelling of 3421698624 in words is "three billion, four hundred twenty-one million, six hundred ninety-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1968 2624 2952 3936 5904 7872 11808 23616 144889 289778 434667 579556 869334 1159112 1304001 1738668 2318224 2608002 3477336 4636448 5216004 5940449 6954672 9272896 10432008 11880898 13909344 17821347 20864016 23761796 27818688 35642694 41728032 47523592 53464041 71285388 83456064 95047184 106928082 142570776 190094368 213856164 285141552 380188736 427712328 570283104 855424656 1140566208 1710849312 3421698624