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1434944160 = 253551317167
BaseRepresentation
bin101010110000111…
…1000001010100000
310201000002201100000
41111201320022200
510414321203120
6354215500000
750362552446
oct12541701240
93630081300
101434944160
11676a96871
12340687600
1319b394cb0
14d880ab96
1585e98990
hex558782a0

1434944160 has 576 divisors, whose sum is σ = 5825094912. Its totient is φ = 330448896.

The previous prime is 1434944153. The next prime is 1434944167. The reversal of 1434944160 is 614494341.

It is a happy number.

1434944160 is a `hidden beast` number, since 1 + 4 + 3 + 494 + 4 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (1434944153) and next prime (1434944167).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1434944167) 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, 8592397 + ... + 8592563.

It is an arithmetic number, because the mean of its divisors is an integer number (10113012).

Almost surely, 21434944160 is an apocalyptic number.

1434944160 is a gapful number since it is divisible by the number (10) 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 1434944160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912547456).

1434944160 is an abundant number, since it is smaller than the sum of its proper divisors (4390150752).

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

1434944160 is a wasteful number, since it uses less digits than its factorization.

1434944160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1434944160 is about 37880.6568052878. The cubic root of 1434944160 is about 1127.9200939323.

The spelling of 1434944160 in words is "one billion, four hundred thirty-four million, nine hundred forty-four thousand, one hundred sixty".