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378965440 = 2657169181
BaseRepresentation
bin10110100101101…
…000110111000000
3222102002102212001
4112211220313000
51234003343230
6101334313344
712251103340
oct2645506700
9872072761
10378965440
11184a09387
12a6ab8854
1360688309
143848ad20
152340b0ca
hex16968dc0

378965440 has 56 divisors (see below), whose sum is σ = 1031333472. Its totient is φ = 129930240.

The previous prime is 378965401. The next prime is 378965441. The reversal of 378965440 is 44569873.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3789654402 = 287229609428787200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378965441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82351 + ... + 86830.

Almost surely, 2378965440 is an apocalyptic number.

It is an amenable number.

378965440 is an abundant number, since it is smaller than the sum of its proper divisors (652368032).

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

378965440 is a wasteful number, since it uses less digits than its factorization.

378965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169205 (or 169195 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 378965440 is about 19467.0346997174. The cubic root of 378965440 is about 723.6577241132.

The spelling of 378965440 in words is "three hundred seventy-eight million, nine hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 169181 338362 676724 845905 1184267 1353448 1691810 2368534 2706896 3383620 4737068 5413792 5921335 6767240 9474136 10827584 11842670 13534480 18948272 23685340 27068960 37896544 47370680 54137920 75793088 94741360 189482720 378965440