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334972248 = 233133729017
BaseRepresentation
bin10011111101110…
…100010101011000
3212100022100112120
4103331310111120
51141223102443
653123341240
711205134322
oct2375642530
9770270476
10334972248
111620a0676
1294221820
1354524040
14326b8612
151e61b083
hex13f74558

334972248 has 64 divisors (see below), whose sum is σ = 926254560. Its totient is φ = 100279296.

The previous prime is 334972229. The next prime is 334972259. The reversal of 334972248 is 842279433.

334972248 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 2×3349722482 = 224412813860347008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) 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 15 ways as a sum of consecutive naturals, for example, 2965 + ... + 26052.

Almost surely, 2334972248 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 334972248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463127280).

334972248 is an abundant number, since it is smaller than the sum of its proper divisors (591282312).

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

334972248 is a wasteful number, since it uses less digits than its factorization.

334972248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29076 (or 29072 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 334972248 is about 18302.2470751545. The cubic root of 334972248 is about 694.4957769860.

It can be divided in two parts, 33 and 4972248, that added together give a triangular number (4972281 = T3153).

The spelling of 334972248 in words is "three hundred thirty-four million, nine hundred seventy-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3848 5772 11544 29017 58034 87051 116068 174102 232136 348204 377221 696408 754442 1073629 1131663 1508884 2147258 2263326 3017768 3220887 4294516 4526652 6441774 8589032 9053304 12883548 13957177 25767096 27914354 41871531 55828708 83743062 111657416 167486124 334972248