Search a number
-
+
373738968 = 23331924793
BaseRepresentation
bin10110010001101…
…100110111011000
3222001020220111000
4112101230313120
51231134121333
6101030305000
712155504661
oct2621546730
9861226430
10373738968
11181a69689
12a51b8160
135c578425
14378ca368
1522c27713
hex1646cdd8

373738968 has 96 divisors (see below), whose sum is σ = 1095908400. Its totient is φ = 117998208.

The previous prime is 373738927. The next prime is 373738969. The reversal of 373738968 is 869837373.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (373738969) 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, 75580 + ... + 80372.

Almost surely, 2373738968 is an apocalyptic number.

373738968 is a gapful number since it is divisible by the number (38) 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 373738968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547954200).

373738968 is an abundant number, since it is smaller than the sum of its proper divisors (722169432).

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

373738968 is a wasteful number, since it uses less digits than its factorization.

373738968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 4817 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 373738968 is about 19332.3296061287. The cubic root of 373738968 is about 720.3155561247.

The spelling of 373738968 in words is "three hundred seventy-three million, seven hundred thirty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 361 456 513 684 722 1026 1083 1368 1444 2052 2166 2888 3249 4104 4332 4793 6498 8664 9586 9747 12996 14379 19172 19494 25992 28758 38344 38988 43137 57516 77976 86274 91067 115032 129411 172548 182134 258822 273201 345096 364268 517644 546402 728536 819603 1035288 1092804 1639206 1730273 2185608 2458809 3278412 3460546 4917618 5190819 6556824 6921092 9835236 10381638 13842184 15572457 19670472 20763276 31144914 41526552 46717371 62289828 93434742 124579656 186869484 373738968