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661145304 = 233233732371
BaseRepresentation
bin100111011010000…
…100011011011000
31201002001122212010
4213122010123120
52323223122204
6145334345520
722245433221
oct4732043330
91632048763
10661145304
1130a221286
121654bb2a0
13a6c86c51
1463b42248
153d099d89
hex276846d8

661145304 has 64 divisors (see below), whose sum is σ = 1771395840. Its totient is φ = 205096320.

The previous prime is 661145297. The next prime is 661145357. The reversal of 661145304 is 403541166.

It is a super-2 number, since 2×6611453042 = 874226226002504832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4239 + ... + 36609.

It is an arithmetic number, because the mean of its divisors is an integer number (27678060).

Almost surely, 2661145304 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 661145304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885697920).

661145304 is an abundant number, since it is smaller than the sum of its proper divisors (1110250536).

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

661145304 is a wasteful number, since it uses less digits than its factorization.

661145304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32440 (or 32436 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 661145304 is about 25712.7459443755. The cubic root of 661145304 is about 871.1620987777.

It can be divided in two parts, 6611 and 45304, that added together give a palindrome (51915).

The spelling of 661145304 in words is "six hundred sixty-one million, one hundred forty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 138 148 184 222 276 296 444 552 851 888 1702 2553 3404 5106 6808 10212 20424 32371 64742 97113 129484 194226 258968 388452 744533 776904 1197727 1489066 2233599 2395454 2978132 3593181 4467198 4790908 5956264 7186362 8934396 9581816 14372724 17868792 27547721 28745448 55095442 82643163 110190884 165286326 220381768 330572652 661145304