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381692736 = 26310101
BaseRepresentation
bin10110110000000…
…010101101000000
3222121020000000000
4112300002231000
51240203131421
6101513000000
712313222545
oct2660025500
9877200000
10381692736
11186501447
12a79b3000
13611017b9
143899abcc
1523799226
hex16c02b40

381692736 has 154 divisors (see below), whose sum is σ = 1147374642. Its totient is φ = 125971200.

The previous prime is 381692723. The next prime is 381692741. The reversal of 381692736 is 637296183.

It can be written as a sum of positive squares in only one way, i.e., 377913600 + 3779136 = 19440^2 + 1944^2 .

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 381692691 and 381692700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 3779086 + ... + 3779186.

Almost surely, 2381692736 is an apocalyptic number.

381692736 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 381692736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573687321).

381692736 is an abundant number, since it is smaller than the sum of its proper divisors (765681906).

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

381692736 is an frugal number, since it uses more digits than its factorization.

381692736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 106 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 381692736 is about 19536.9582074590. The cubic root of 381692736 is about 725.3895558471.

The spelling of 381692736 in words is "three hundred eighty-one million, six hundred ninety-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 101 108 144 162 192 202 216 243 288 303 324 404 432 486 576 606 648 729 808 864 909 972 1212 1296 1458 1616 1728 1818 1944 2187 2424 2592 2727 2916 3232 3636 3888 4374 4848 5184 5454 5832 6464 6561 7272 7776 8181 8748 9696 10908 11664 13122 14544 15552 16362 17496 19392 19683 21816 23328 24543 26244 29088 32724 34992 39366 43632 46656 49086 52488 58176 59049 65448 69984 73629 78732 87264 98172 104976 118098 130896 139968 147258 157464 174528 196344 209952 220887 236196 261792 294516 314928 392688 419904 441774 472392 523584 589032 629856 662661 785376 883548 944784 1178064 1259712 1325322 1570752 1767096 1889568 1987983 2356128 2650644 3534192 3779136 3975966 4712256 5301288 5963949 7068384 7951932 10602576 11927898 14136768 15903864 21205152 23855796 31807728 42410304 47711592 63615456 95423184 127230912 190846368 381692736