Search a number
-
+
332290674 = 23431127521
BaseRepresentation
bin10011110011100…
…101101001110010
3212011021010010000
4103303211221302
51140031300144
652550050430
711143265322
oct2363455162
9764233100
10332290674
111606299a1
1293349a16
1353ac5601
14321bb282
151e28b769
hex13ce5a72

332290674 has 80 divisors (see below), whose sum is σ = 776134656. Its totient is φ = 106142400.

The previous prime is 332290631. The next prime is 332290703. The reversal of 332290674 is 476092233.

It is a happy number.

It is a super-2 number, since 2×3322906742 = 220834184054748552, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 637534 + ... + 638054.

Almost surely, 2332290674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332290674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388067328).

332290674 is an abundant number, since it is smaller than the sum of its proper divisors (443843982).

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

332290674 is a wasteful number, since it uses less digits than its factorization.

332290674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 332290674 is about 18228.8418172960. The cubic root of 332290674 is about 692.6375796542.

The spelling of 332290674 in words is "three hundred thirty-two million, two hundred ninety thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 127 162 186 254 279 381 521 558 762 837 1042 1143 1563 1674 2286 2511 3126 3429 3937 4689 5022 6858 7874 9378 10287 11811 14067 16151 20574 23622 28134 32302 35433 42201 48453 66167 70866 84402 96906 106299 132334 145359 198501 212598 290718 318897 397002 436077 595503 637794 872154 1191006 1308231 1786509 2051177 2616462 3573018 4102354 5359527 6153531 10719054 12307062 18460593 36921186 55381779 110763558 166145337 332290674