Search a number
-
+
332156640 = 25351913623
BaseRepresentation
bin10011110011000…
…100111011100000
3212011000022020210
4103303010323200
51140013003030
652543134120
711142166464
oct2363047340
9764008223
10332156640
11160548222
12932a4340
1353a795ba
14321844a4
151e261bb0
hex13cc4ee0

332156640 has 96 divisors (see below), whose sum is σ = 1052061696. Its totient is φ = 88087040.

The previous prime is 332156623. The next prime is 332156677. The reversal of 332156640 is 46651233.

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

It is a super-2 number, since 2×3321566402 = 220656066992179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 332156598 and 332156607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89869 + ... + 93491.

It is an arithmetic number, because the mean of its divisors is an integer number (10958976).

Almost surely, 2332156640 is an apocalyptic number.

332156640 is a gapful number since it is divisible by the number (30) 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 332156640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526030848).

332156640 is an abundant number, since it is smaller than the sum of its proper divisors (719905056).

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

332156640 is a wasteful number, since it uses less digits than its factorization.

332156640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 332156640 is about 18225.1650198290. The cubic root of 332156640 is about 692.5444388413.

The spelling of 332156640 in words is "three hundred thirty-two million, one hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 191 240 382 480 573 764 955 1146 1528 1910 2292 2865 3056 3623 3820 4584 5730 6112 7246 7640 9168 10869 11460 14492 15280 18115 18336 21738 22920 28984 30560 36230 43476 45840 54345 57968 72460 86952 91680 108690 115936 144920 173904 217380 289840 347808 434760 579680 691993 869520 1383986 1739040 2075979 2767972 3459965 4151958 5535944 6919930 8303916 10379895 11071888 13839860 16607832 20759790 22143776 27679720 33215664 41519580 55359440 66431328 83039160 110718880 166078320 332156640