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368744442 = 231131374871
BaseRepresentation
bin10101111110101…
…001011111111010
3221200212011021120
4111332221133322
51223344310232
6100331250110
712065163453
oct2576513772
9850764246
10368744442
1117a168180
12a35a9936
135b519ca1
1436d8a12a
152258c92c
hex15fa97fa

368744442 has 64 divisors (see below), whose sum is σ = 853106688. Its totient is φ = 105192000.

The previous prime is 368744423. The next prime is 368744459. The reversal of 368744442 is 244447863.

It is a happy number.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 368744394 and 368744403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73267 + ... + 78137.

It is an arithmetic number, because the mean of its divisors is an integer number (13329792).

Almost surely, 2368744442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368744442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426553344).

368744442 is an abundant number, since it is smaller than the sum of its proper divisors (484362246).

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

368744442 is a wasteful number, since it uses less digits than its factorization.

368744442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955.

The product of its digits is 516096, while the sum is 42.

The square root of 368744442 is about 19202.7196511328. The cubic root of 368744442 is about 717.0924681702.

It can be divided in two parts, 368 and 744442, that added together give a triangular number (744810 = T1220).

The spelling of 368744442 in words is "three hundred sixty-eight million, seven hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 37 62 66 74 93 111 186 222 341 407 682 814 1023 1147 1221 2046 2294 2442 3441 4871 6882 9742 12617 14613 25234 29226 37851 53581 75702 107162 151001 160743 180227 302002 321486 360454 453003 540681 906006 1081362 1661011 1982497 3322022 3964994 4983033 5587037 5947491 9966066 11174074 11894982 16761111 33522222 61457407 122914814 184372221 368744442