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381707136 = 27321272609
BaseRepresentation
bin10110110000000…
…110001110000000
3222121020201202100
4112300012032000
51240204112021
6101513150400
712313312536
oct2660061600
9877221670
10381707136
11186511248
12a79bb400
1361108215
14389a2156
152379d626
hex16c06380

381707136 has 96 divisors (see below), whose sum is σ = 1107475200. Its totient is φ = 126185472.

The previous prime is 381707129. The next prime is 381707141. The reversal of 381707136 is 631707183.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 381707136.

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, 145000 + ... + 147608.

It is an arithmetic number, because the mean of its divisors is an integer number (11536200).

Almost surely, 2381707136 is an apocalyptic number.

381707136 is a gapful number since it is divisible by the number (36) 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 381707136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553737600).

381707136 is an abundant number, since it is smaller than the sum of its proper divisors (725768064).

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

381707136 is a wasteful number, since it uses less digits than its factorization.

381707136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 381707136 is about 19537.3267362759. The cubic root of 381707136 is about 725.3986779125.

The spelling of 381707136 in words is "three hundred eighty-one million, seven hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 288 381 384 508 576 762 1016 1143 1152 1524 2032 2286 2609 3048 4064 4572 5218 6096 7827 8128 9144 10436 12192 15654 16256 18288 20872 23481 24384 31308 36576 41744 46962 48768 62616 73152 83488 93924 125232 146304 166976 187848 250464 331343 333952 375696 500928 662686 751392 994029 1001856 1325372 1502784 1988058 2650744 2982087 3005568 3976116 5301488 5964174 7952232 10602976 11928348 15904464 21205952 23856696 31808928 42411904 47713392 63617856 95426784 127235712 190853568 381707136