Search a number
-
+
2930307264 = 26326183399
BaseRepresentation
bin1010111010101000…
…1111000011000000
321120012220000212200
42232222033003000
522000124313024
61202434353200
7132421125603
oct25652170300
97505800780
102930307264
11127409a245
1269942b800
13379122831
141db26433a
151223c92c9
hexaea8f0c0

2930307264 has 84 divisors (see below), whose sum is σ = 8536990800. Its totient is φ = 960744960.

The previous prime is 2930307253. The next prime is 2930307287. The reversal of 2930307264 is 4627030392.

It is a happy number.

2930307264 is a `hidden beast` number, since 2 + 93 + 0 + 307 + 264 = 666.

It is a super-2 number, since 2×29303072642 = 17173401322902331392, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6564 + ... + 76835.

Almost surely, 22930307264 is an apocalyptic number.

2930307264 is a gapful number since it is divisible by the number (24) 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 2930307264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268495400).

2930307264 is an abundant number, since it is smaller than the sum of its proper divisors (5606683536).

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

2930307264 is a wasteful number, since it uses less digits than its factorization.

2930307264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83478 (or 83465 counting only the distinct ones).

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

The square root of 2930307264 is about 54132.3125683727. The cubic root of 2930307264 is about 1430.9936960139.

The spelling of 2930307264 in words is "two billion, nine hundred thirty million, three hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 976 1098 1464 1952 2196 2928 3904 4392 5856 8784 11712 17568 35136 83399 166798 250197 333596 500394 667192 750591 1000788 1334384 1501182 2001576 2668768 3002364 4003152 5087339 5337536 6004728 8006304 10174678 12009456 15262017 16012608 20349356 24018912 30524034 40698712 45786051 48037824 61048068 81397424 91572102 122096136 162794848 183144204 244192272 325589696 366288408 488384544 732576816 976769088 1465153632 2930307264