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380639232 = 21132107193
BaseRepresentation
bin10110101100000…
…001100000000000
3222112020110212100
4112230001200000
51234420423412
6101434230400
712301244241
oct2654014000
9875213770
10380639232
11185951986
12a7585400
1360b2311c
14387a4cc8
152363bedc
hex16b01800

380639232 has 144 divisors (see below), whose sum is σ = 1115379720. Its totient is φ = 125042688.

The previous prime is 380639201. The next prime is 380639251. The reversal of 380639232 is 232936083.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1972128 + ... + 1972320.

Almost surely, 2380639232 is an apocalyptic number.

380639232 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 380639232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557689860).

380639232 is an abundant number, since it is smaller than the sum of its proper divisors (734740488).

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

380639232 is a wasteful number, since it uses less digits than its factorization.

380639232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 380639232 is about 19509.9777549848. The cubic root of 380639232 is about 724.7215622031.

The spelling of 380639232 in words is "three hundred eighty million, six hundred thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 193 214 256 288 321 384 386 428 512 576 579 642 768 772 856 963 1024 1152 1158 1284 1536 1544 1712 1737 1926 2048 2304 2316 2568 3072 3088 3424 3474 3852 4608 4632 5136 6144 6176 6848 6948 7704 9216 9264 10272 12352 13696 13896 15408 18432 18528 20544 20651 24704 27392 27792 30816 37056 41088 41302 49408 54784 55584 61632 61953 74112 82176 82604 98816 109568 111168 123264 123906 148224 164352 165208 185859 197632 219136 222336 246528 247812 296448 328704 330416 371718 395264 444672 493056 495624 592896 657408 660832 743436 889344 986112 991248 1185792 1321664 1486872 1778688 1972224 1982496 2643328 2973744 3557376 3964992 5286656 5947488 7929984 10573312 11894976 15859968 21146624 23789952 31719936 42293248 47579904 63439872 95159808 126879744 190319616 380639232