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661031352 = 233231734057
BaseRepresentation
bin100111011001101…
…000100110111000
31201001211212112200
4213121220212320
52323211000402
6145332110200
722244450052
oct4731504670
91631755480
10661031352
1130a153703
12165465360
13a6c47117
1463b128d2
153d07621c
hex276689b8

661031352 has 96 divisors (see below), whose sum is σ = 1873822080. Its totient is φ = 210263040.

The previous prime is 661031351. The next prime is 661031353. The reversal of 661031352 is 253130166.

661031352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (661031351) and next prime (661031353).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661031351) 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, 160908 + ... + 164964.

It is an arithmetic number, because the mean of its divisors is an integer number (19518980).

Almost surely, 2661031352 is an apocalyptic number.

661031352 is a gapful number since it is divisible by the number (62) 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 661031352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936911040).

661031352 is an abundant number, since it is smaller than the sum of its proper divisors (1212790728).

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

661031352 is a wasteful number, since it uses less digits than its factorization.

661031352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 661031352 is about 25710.5299828689. The cubic root of 661031352 is about 871.1120460552.

The spelling of 661031352 in words is "six hundred sixty-one million, thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 73 93 124 146 186 219 248 279 292 372 438 558 584 657 744 876 1116 1314 1752 2232 2263 2628 4057 4526 5256 6789 8114 9052 12171 13578 16228 18104 20367 24342 27156 32456 36513 40734 48684 54312 73026 81468 97368 125767 146052 162936 251534 292104 296161 377301 503068 592322 754602 888483 1006136 1131903 1184644 1509204 1776966 2263806 2369288 2665449 3018408 3553932 4527612 5330898 7107864 9055224 9180991 10661796 18361982 21323592 27542973 36723964 55085946 73447928 82628919 110171892 165257838 220343784 330515676 661031352