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334193472 = 2633375227
BaseRepresentation
bin10011111010110…
…110001101000000
3212021211210021000
4103322312031000
51141023142342
653054532000
711165411664
oct2372661500
9767753230
10334193472
11161709558
1293b07000
1354310722
14325548a4
151e51544c
hex13eb6340

334193472 has 112 divisors (see below), whose sum is σ = 1009213120. Its totient is φ = 108366336.

The previous prime is 334193471. The next prime is 334193507. The reversal of 334193472 is 274391433.

334193472 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 2×3341934722 = 223370553454829568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334193471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61323 + ... + 66549.

Almost surely, 2334193472 is an apocalyptic number.

334193472 is a gapful number since it is divisible by the number (32) 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 334193472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504606560).

334193472 is an abundant number, since it is smaller than the sum of its proper divisors (675019648).

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

334193472 is a wasteful number, since it uses less digits than its factorization.

334193472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5285 (or 5269 counting only the distinct ones).

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

The square root of 334193472 is about 18280.9592746114. The cubic root of 334193472 is about 693.9571489514.

The spelling of 334193472 in words is "three hundred thirty-four million, one hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 144 148 192 216 222 288 296 333 432 444 576 592 666 864 888 999 1184 1332 1728 1776 1998 2368 2664 3552 3996 5227 5328 7104 7992 10454 10656 15681 15984 20908 21312 31362 31968 41816 47043 62724 63936 83632 94086 125448 141129 167264 188172 193399 250896 282258 334528 376344 386798 501792 564516 580197 752688 773596 1003584 1129032 1160394 1505376 1547192 1740591 2258064 2320788 3010752 3094384 3481182 4516128 4641576 5221773 6188768 6962364 9032256 9283152 10443546 12377536 13924728 18566304 20887092 27849456 37132608 41774184 55698912 83548368 111397824 167096736 334193472