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378340864 = 2911231197
BaseRepresentation
bin10110100011010…
…000011000000000
3222100220201002121
4112203100120000
51233323401424
6101313054024
712242562406
oct2643203000
9870821077
10378340864
11184622100
12a6857314
13604c9c45
1438367476
1523335ee4
hex168d0600

378340864 has 120 divisors (see below), whose sum is σ = 862069824. Its totient is φ = 165580800.

The previous prime is 378340843. The next prime is 378340877. The reversal of 378340864 is 468043873.

It is a happy number.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 378340864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1920414 + ... + 1920610.

Almost surely, 2378340864 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 378340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431034912).

378340864 is an abundant number, since it is smaller than the sum of its proper divisors (483728960).

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

378340864 is a wasteful number, since it uses less digits than its factorization.

378340864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 378340864 is about 19450.9861960776. The cubic root of 378340864 is about 723.2599501298.

The spelling of 378340864 in words is "three hundred seventy-eight million, three hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 121 124 128 176 197 242 248 256 341 352 394 484 496 512 682 704 788 968 992 1364 1408 1576 1936 1984 2167 2728 2816 3152 3751 3872 3968 4334 5456 5632 6107 6304 7502 7744 7936 8668 10912 12214 12608 15004 15488 15872 17336 21824 23837 24428 25216 30008 30976 34672 43648 47674 48856 50432 60016 61952 67177 69344 87296 95348 97712 100864 120032 134354 138688 174592 190696 195424 240064 268708 277376 381392 390848 480128 537416 554752 738947 762784 781696 960256 1074832 1109504 1477894 1525568 1563392 1920512 2149664 2955788 3051136 3126784 4299328 5911576 6102272 8598656 11823152 12204544 17197312 23646304 34394624 47292608 94585216 189170432 378340864