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2934469440 = 2632571947163
BaseRepresentation
bin1010111011101000…
…0111001101000000
321120111201111022100
42232322013031000
522002211010230
61203103510400
7132501402330
oct25672071500
97514644270
102934469440
111276482361
1269a8b8400
13379c4c166
141dba290c0
1512294c660
hexaee87340

2934469440 has 672 divisors, whose sum is σ = 12476805120. Its totient is φ = 618098688.

The previous prime is 2934469411. The next prime is 2934469441. The reversal of 2934469440 is 449644392.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×29344694402 = 17222221788587827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2934469441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18002799 + ... + 18002961.

Almost surely, 22934469440 is an apocalyptic number.

2934469440 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 2934469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6238402560).

2934469440 is an abundant number, since it is smaller than the sum of its proper divisors (9542335680).

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

2934469440 is a wasteful number, since it uses less digits than its factorization.

2934469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 2934469440 is about 54170.7433953052. The cubic root of 2934469440 is about 1431.6708980200.

The spelling of 2934469440 in words is "two billion, nine hundred thirty-four million, four hundred sixty-nine thousand, four hundred forty".