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613465944 = 2337132173141
BaseRepresentation
bin100100100100001…
…011111101011000
31120202100022001220
4210210023331120
52224021402234
6140512412040
721126242310
oct4444137530
91522308056
10613465944
11295316053
12151547020
139a131c00
145b690440
1538ccca49
hex2490bf58

613465944 has 384 divisors, whose sum is σ = 2125025280. Its totient is φ = 143769600.

The previous prime is 613465943. The next prime is 613465967. The reversal of 613465944 is 449564316.

It is a happy number.

It is a super-2 number, since 2×6134659442 = 752680928895622272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 613465896 and 613465905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613465943) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14962564 + ... + 14962604.

It is an arithmetic number, because the mean of its divisors is an integer number (5533920).

Almost surely, 2613465944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613465944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062512640).

613465944 is an abundant number, since it is smaller than the sum of its proper divisors (1511559336).

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

613465944 is a wasteful number, since it uses less digits than its factorization.

613465944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 613465944 is about 24768.2446693342. The cubic root of 613465944 is about 849.6958284204.

The spelling of 613465944 in words is "six hundred thirteen million, four hundred sixty-five thousand, nine hundred forty-four".