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2934034880 = 26573735401
BaseRepresentation
bin1010111011100001…
…1101000111000000
321120110220102012112
42232320131013000
522002103104010
61203050314452
7132464612360
oct25670350700
97513812175
102934034880
111276205917
1269a728a28
13379b2941a
141db9549a0
151228b3a05
hexaee1d1c0

2934034880 has 112 divisors (see below), whose sum is σ = 8200802496. Its totient is φ = 978739200.

The previous prime is 2934034823. The next prime is 2934034921. The reversal of 2934034880 is 884304392.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×29340348802 = 17217121354113228800, which contains 22 as substring.

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, 65180 + ... + 100580.

Almost surely, 22934034880 is an apocalyptic number.

2934034880 is a gapful number since it is divisible by the number (20) 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 2934034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100401248).

2934034880 is an abundant number, since it is smaller than the sum of its proper divisors (5266767616).

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

2934034880 is a wasteful number, since it uses less digits than its factorization.

2934034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35462 (or 35452 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 2934034880 is about 54166.7322256014. The cubic root of 2934034880 is about 1431.6002233908.

The spelling of 2934034880 in words is "two billion, nine hundred thirty-four million, thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 140 148 160 185 224 259 280 296 320 370 448 518 560 592 740 1036 1120 1184 1295 1480 2072 2240 2368 2590 2960 4144 5180 5920 8288 10360 11840 16576 20720 35401 41440 70802 82880 141604 177005 247807 283208 354010 495614 566416 708020 991228 1132832 1239035 1309837 1416040 1982456 2265664 2478070 2619674 2832080 3964912 4956140 5239348 5664160 6549185 7929824 9168859 9912280 10478696 11328320 13098370 15859648 18337718 19824560 20957392 26196740 36675436 39649120 41914784 45844295 52393480 73350872 79298240 83829568 91688590 104786960 146701744 183377180 209573920 293403488 366754360 419147840 586806976 733508720 1467017440 2934034880