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1034408144 = 24711839617
BaseRepresentation
bin111101101001111…
…101000011010000
32200002102101012202
4331221331003100
54104302030034
6250350542332
734430216120
oct7551750320
92602371182
101034408144
11490995170
1224a5079a8
131363c6733
149b546c80
1560c2b47e
hex3da7d0d0

1034408144 has 40 divisors (see below), whose sum is σ = 2498703168. Its totient is φ = 403015680.

The previous prime is 1034408143. The next prime is 1034408173. The reversal of 1034408144 is 4418044301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034408143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418577 + ... + 421040.

Almost surely, 21034408144 is an apocalyptic number.

1034408144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1034408144 is an abundant number, since it is smaller than the sum of its proper divisors (1464295024).

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

1034408144 is a wasteful number, since it uses less digits than its factorization.

1034408144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839643 (or 839637 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 1034408144 is about 32162.2160928006. The cubic root of 1034408144 is about 1011.3402929599.

The spelling of 1034408144 in words is "one billion, thirty-four million, four hundred eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 839617 1679234 3358468 5877319 6716936 9235787 11754638 13433872 18471574 23509276 36943148 47018552 64650509 73886296 94037104 129301018 147772592 258602036 517204072 1034408144