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381695040 = 26325132533
BaseRepresentation
bin10110110000000…
…011010001000000
3222121020010011100
4112300003101000
51240203220130
6101513014400
712313232346
oct2660032100
9877203140
10381695040
11186503151
12a79b4400
136110286c
143899b996
1523799c60
hex16c03440

381695040 has 84 divisors (see below), whose sum is σ = 1312881804. Its totient is φ = 101784576.

The previous prime is 381695023. The next prime is 381695087. The reversal of 381695040 is 40596183.

It can be written as a sum of positive squares in 2 ways, for example, as 183223296 + 198471744 = 13536^2 + 14088^2 .

It is a super-2 number, since 2×3816950402 = 291382207121203200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 381694986 and 381695004.

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, 63387 + ... + 69146.

Almost surely, 2381695040 is an apocalyptic number.

381695040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381695040 is an abundant number, since it is smaller than the sum of its proper divisors (931186764).

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

381695040 is a wasteful number, since it uses less digits than its factorization.

381695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132556 (or 132543 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 381695040 is about 19537.0171725369. The cubic root of 381695040 is about 725.3910153930.

The spelling of 381695040 in words is "three hundred eighty-one million, six hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 132533 265066 397599 530132 662665 795198 1060264 1192797 1325330 1590396 1987995 2120528 2385594 2650660 3180792 3975990 4241056 4771188 5301320 5963985 6361584 7951980 8482112 9542376 10602640 11927970 12723168 15903960 19084752 21205280 23855940 25446336 31807920 38169504 42410560 47711880 63615840 76339008 95423760 127231680 190847520 381695040