Search a number
-
+
338907492 = 22327111031187
BaseRepresentation
bin10100001100110…
…101000101100100
3212121201021200100
4110030311011210
51143230014432
653343544100
711253444330
oct2414650544
9777637610
10338907492
11164339240
12955bb030
13552a12a1
14330207c0
151eb4707c
hex14335164

338907492 has 144 divisors (see below), whose sum is σ = 1079350272. Its totient is φ = 87099840.

The previous prime is 338907463. The next prime is 338907511. The reversal of 338907492 is 294709833.

It is a happy number.

338907492 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3389074922 = 229716576267460128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284923 + ... + 286109.

It is an arithmetic number, because the mean of its divisors is an integer number (7495488).

Almost surely, 2338907492 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 338907492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539675136).

338907492 is an abundant number, since it is smaller than the sum of its proper divisors (740442780).

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

338907492 is a wasteful number, since it uses less digits than its factorization.

338907492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1313 counting only the distinct ones).

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

The square root of 338907492 is about 18409.4402956744. The cubic root of 338907492 is about 697.2048344507.

The spelling of 338907492 in words is "three hundred thirty-eight million, nine hundred seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 103 126 132 154 198 206 231 252 308 309 396 412 462 618 693 721 924 927 1133 1187 1236 1386 1442 1854 2163 2266 2374 2772 2884 3399 3561 3708 4326 4532 4748 6489 6798 7122 7931 8309 8652 10197 10683 12978 13057 13596 14244 15862 16618 20394 21366 23793 24927 25956 26114 31724 33236 39171 40788 42732 47586 49854 52228 71379 74781 78342 91399 95172 99708 117513 122261 142758 149562 156684 182798 235026 244522 274197 285516 299124 365596 366783 470052 489044 548394 733566 822591 855827 1096788 1100349 1344871 1467132 1645182 1711654 2200698 2567481 2689742 3290364 3423308 4034613 4401396 5134962 5379484 7702443 8069226 9414097 10269924 12103839 15404886 16138452 18828194 24207678 28242291 30809772 37656388 48415356 56484582 84726873 112969164 169453746 338907492