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240368796 = 22394371
BaseRepresentation
bin11100101001110…
…11110010011100
3121202022000000000
432110323302130
5443013300141
635503534300
75646046443
oct1624736234
9552260000
10240368796
111137556a8
12685ba390
133aa4c975
1423ccdd5a
15161805b6
hexe53bc9c

240368796 has 120 divisors (see below), whose sum is σ = 654724224. Its totient is φ = 77157360.

The previous prime is 240368771. The next prime is 240368819. The reversal of 240368796 is 697863042.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3385441 + ... + 3385511.

Almost surely, 2240368796 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 240368796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327362112).

240368796 is an abundant number, since it is smaller than the sum of its proper divisors (414355428).

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

240368796 is an frugal number, since it uses more digits than its factorization.

240368796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 240368796 is about 15503.8316554328. The cubic root of 240368796 is about 621.7646535388.

The spelling of 240368796 in words is "two hundred forty million, three hundred sixty-eight thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 71 81 86 108 129 142 162 172 213 243 258 284 324 387 426 486 516 639 729 774 852 972 1161 1278 1458 1548 1917 2187 2322 2556 2916 3053 3483 3834 4374 4644 5751 6106 6561 6966 7668 8748 9159 10449 11502 12212 13122 13932 17253 18318 19683 20898 23004 26244 27477 31347 34506 36636 39366 41796 51759 54954 62694 69012 78732 82431 94041 103518 109908 125388 155277 164862 188082 207036 247293 282123 310554 329724 376164 465831 494586 564246 621108 741879 846369 931662 989172 1128492 1397493 1483758 1692738 1863324 2225637 2794986 2967516 3385476 4451274 5589972 6676911 8902548 13353822 20030733 26707644 40061466 60092199 80122932 120184398 240368796