Search a number
-
+
332474996 = 227219731223
BaseRepresentation
bin10011110100010…
…010101001110100
3212011121110221202
4103310102221310
51140103144441
652554032032
711144663600
oct2364225164
9764543852
10332474996
11160745427
1293418618
1353b5b489
1432228500
151e2c619b
hex13d12a74

332474996 has 72 divisors (see below), whose sum is σ = 722796480. Its totient is φ = 133031808.

The previous prime is 332474993. The next prime is 332474999. The reversal of 332474996 is 699474233.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (332474993) and next prime (332474999).

It is a super-2 number, since 2×3324749962 = 221079245930400032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332474996.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332474993) 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, 271241 + ... + 272463.

It is an arithmetic number, because the mean of its divisors is an integer number (10038840).

Almost surely, 2332474996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332474996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361398240).

332474996 is an abundant number, since it is smaller than the sum of its proper divisors (390321484).

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

332474996 is a wasteful number, since it uses less digits than its factorization.

332474996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1324 counting only the distinct ones).

The product of its digits is 979776, while the sum is 47.

The square root of 332474996 is about 18233.8968956172. The cubic root of 332474996 is about 692.7656249223.

The spelling of 332474996 in words is "three hundred thirty-two million, four hundred seventy-four thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 19 28 38 49 73 76 98 133 146 196 266 292 511 532 931 1022 1223 1387 1862 2044 2446 2774 3577 3724 4892 5548 7154 8561 9709 14308 17122 19418 23237 34244 38836 46474 59927 67963 89279 92948 119854 135926 162659 178558 239708 271852 325318 357116 624953 650636 1138613 1249906 1696301 2277226 2499812 3392602 4374671 4554452 6785204 8749342 11874107 17498684 23748214 47496428 83118749 166237498 332474996