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381080024 = 231317231409
BaseRepresentation
bin10110101101101…
…101000111011000
3222120001212111222
4112231231013120
51240024030044
6101451511212
712305061323
oct2655550730
9876055458
10381080024
11186123076
12a7758508
1360c48950
143887b7ba
15236c78ee
hex16b6d1d8

381080024 has 96 divisors (see below), whose sum is σ = 845846400. Its totient is φ = 159805440.

The previous prime is 381080009. The next prime is 381080027. The reversal of 381080024 is 420080183.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 381079975 and 381080002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381080027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 931532 + ... + 931940.

It is an arithmetic number, because the mean of its divisors is an integer number (8810900).

Almost surely, 2381080024 is an apocalyptic number.

381080024 is a gapful number since it is divisible by the number (34) 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 381080024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422923200).

381080024 is an abundant number, since it is smaller than the sum of its proper divisors (464766376).

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

381080024 is a wasteful number, since it uses less digits than its factorization.

381080024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 381080024 is about 19521.2710651740. The cubic root of 381080024 is about 725.0012042786.

The spelling of 381080024 in words is "three hundred eighty-one million, eighty thousand, twenty-four".

Divisors: 1 2 4 8 13 17 26 31 34 52 62 68 104 124 136 221 248 289 403 409 442 527 578 806 818 884 1054 1156 1612 1636 1768 2108 2312 3224 3272 3757 4216 5317 6851 6953 7514 8959 10634 12679 13702 13906 15028 17918 21268 25358 27404 27812 30056 35836 42536 50716 54808 55624 71672 90389 101432 116467 118201 164827 180778 215543 232934 236402 329654 361556 431086 465868 472804 659308 723112 862172 931736 945608 1318616 1536613 1724344 2802059 3073226 3664231 5604118 6146452 7328462 11208236 12292904 14656924 22416472 29313848 47635003 95270006 190540012 381080024