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334492272 = 2432171071277
BaseRepresentation
bin10011111011111…
…111001001110000
3212022101222010200
4103323333021300
51141112223042
653105155200
711201065062
oct2373771160
9768358120
10334492272
111618a2aa4
129402bb00
13543b672a
14325d1732
151e573c4c
hex13eff270

334492272 has 120 divisors (see below), whose sum is σ = 1001226096. Its totient is φ = 103876608.

The previous prime is 334492267. The next prime is 334492273. The reversal of 334492272 is 272294433.

It is a happy number.

It is a super-2 number, since 2×3344922722 = 223770160055443968, 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 (334492273) 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, 261298 + ... + 262574.

Almost surely, 2334492272 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 334492272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500613048).

334492272 is an abundant number, since it is smaller than the sum of its proper divisors (666733824).

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

334492272 is a wasteful number, since it uses less digits than its factorization.

334492272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1406 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 334492272 is about 18289.1298863560. The cubic root of 334492272 is about 694.1639080557.

It can be divided in two parts, 33449 and 2272, that added together give a square (35721 = 1892).

The spelling of 334492272 in words is "three hundred thirty-four million, four hundred ninety-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 107 136 144 153 204 214 272 306 321 408 428 612 642 816 856 963 1224 1277 1284 1712 1819 1926 2448 2554 2568 3638 3831 3852 5108 5136 5457 7276 7662 7704 10216 10914 11493 14552 15324 15408 16371 20432 21709 21828 22986 29104 30648 32742 43418 43656 45972 61296 65127 65484 86836 87312 91944 130254 130968 136639 173672 183888 195381 260508 261936 273278 347344 390762 409917 521016 546556 781524 819834 1042032 1093112 1229751 1563048 1639668 2186224 2322863 2459502 3126096 3279336 4645726 4919004 6558672 6968589 9291452 9838008 13937178 18582904 19676016 20905767 27874356 37165808 41811534 55748712 83623068 111497424 167246136 334492272