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380389632 = 2837173409
BaseRepresentation
bin10110101011000…
…100100100000000
3222111202210110220
4112223010210000
51234334432012
6101425023040
712266154450
oct2653044400
9874683426
10380389632
111857a13a7
12a7484a80
1360a6662c
143873bd60
15235dd08c
hex16ac4900

380389632 has 144 divisors (see below), whose sum is σ = 1166551680. Its totient is φ = 107790336.

The previous prime is 380389627. The next prime is 380389651. The reversal of 380389632 is 236983083.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 929844 + ... + 930252.

Almost surely, 2380389632 is an apocalyptic number.

380389632 is a gapful number since it is divisible by the number (32) 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 380389632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583275840).

380389632 is an abundant number, since it is smaller than the sum of its proper divisors (786162048).

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

380389632 is a wasteful number, since it uses less digits than its factorization.

380389632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 380389632 is about 19503.5799790705. The cubic root of 380389632 is about 724.5631181612.

The spelling of 380389632 in words is "three hundred eighty million, three hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 173 192 224 256 336 346 384 409 448 519 672 692 768 818 896 1038 1211 1227 1344 1384 1636 1792 2076 2422 2454 2688 2768 2863 3272 3633 4152 4844 4908 5376 5536 5726 6544 7266 8304 8589 9688 9816 11072 11452 13088 14532 16608 17178 19376 19632 22144 22904 26176 29064 33216 34356 38752 39264 44288 45808 52352 58128 66432 68712 70757 77504 78528 91616 104704 116256 132864 137424 141514 155008 157056 183232 212271 232512 274848 283028 310016 314112 366464 424542 465024 495299 549696 566056 732928 849084 930048 990598 1099392 1132112 1485897 1698168 1981196 2198784 2264224 2971794 3396336 3962392 4528448 5943588 6792672 7924784 9056896 11887176 13585344 15849568 18113792 23774352 27170688 31699136 47548704 54341376 63398272 95097408 126796544 190194816 380389632