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368097940 = 225717211733
BaseRepresentation
bin10101111100001…
…011101010010100
3221122122022110001
4111330023222110
51223213113230
6100305341044
712056531560
oct2574135224
9848568401
10368097940
11179866481
12a3337784
135b351942
1436c5c6a0
15224b10ca
hex15f0ba94

368097940 has 96 divisors (see below), whose sum is σ = 941117184. Its totient is φ = 118056960.

The previous prime is 368097883. The next prime is 368097949. The reversal of 368097940 is 49790863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368097949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501814 + ... + 502546.

It is an arithmetic number, because the mean of its divisors is an integer number (9803304).

Almost surely, 2368097940 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 368097940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470558592).

368097940 is an abundant number, since it is smaller than the sum of its proper divisors (573019244).

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

368097940 is a wasteful number, since it uses less digits than its factorization.

368097940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 368097940 is about 19185.8786611403. The cubic root of 368097940 is about 716.6731416998.

The spelling of 368097940 in words is "three hundred sixty-eight million, ninety-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 211 238 340 422 476 595 733 844 1055 1190 1466 1477 2110 2380 2932 2954 3587 3665 4220 5131 5908 7174 7330 7385 10262 12461 14348 14660 14770 17935 20524 24922 25109 25655 29540 35870 49844 50218 51310 62305 71740 87227 100436 102620 124610 125545 154663 174454 249220 251090 309326 348908 436135 502180 618652 773315 872270 1082641 1546630 1744540 2165282 2629271 3093260 4330564 5258542 5413205 10517084 10826410 13146355 18404897 21652820 26292710 36809794 52585420 73619588 92024485 184048970 368097940