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3007033134 = 2371722718553
BaseRepresentation
bin1011001100111011…
…1010111100101110
321202120021002222120
42303032322330232
522124300030014
61214215053410
7134342234310
oct26316727456
97676232876
103007033134
111303434556
126bb071266
1338bca7861
142075177b0
15128ed2ba9
hexb33baf2e

3007033134 has 64 divisors (see below), whose sum is σ = 7309979136. Its totient is φ = 805008384.

The previous prime is 3007033103. The next prime is 3007033181. The reversal of 3007033134 is 4313307003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152802 + ... + 171354.

It is an arithmetic number, because the mean of its divisors is an integer number (114218424).

Almost surely, 23007033134 is an apocalyptic number.

3007033134 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3007033134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654989568).

3007033134 is an abundant number, since it is smaller than the sum of its proper divisors (4302946002).

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

3007033134 is a wasteful number, since it uses less digits than its factorization.

3007033134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18809.

The product of its (nonzero) digits is 2268, while the sum is 24.

The square root of 3007033134 is about 54836.4216009761. The cubic root of 3007033134 is about 1443.3757500894.

The spelling of 3007033134 in words is "three billion, seven million, thirty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 227 238 357 454 681 714 1362 1589 3178 3859 4767 7718 9534 11577 18553 23154 27013 37106 54026 55659 81039 111318 129871 162078 259742 315401 389613 630802 779226 946203 1892406 2207807 4211531 4415614 6623421 8423062 12634593 13246842 25269186 29480717 58961434 71596027 88442151 143192054 176884302 214788081 429576162 501172189 1002344378 1503516567 3007033134