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1434356640 = 253351719531
BaseRepresentation
bin101010101111110…
…1000101110100000
310200221222212102000
41111133220232200
510414143403030
6354155124000
750354554533
oct12537505640
93627885360
101434356640
11676725412
12340443600
1319b21a752
14d86d6a1a
1585dce860
hex557e8ba0

1434356640 has 192 divisors, whose sum is σ = 5315829120. Its totient is φ = 359976960.

The previous prime is 1434356603. The next prime is 1434356641. The reversal of 1434356640 is 466534341.

1434356640 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 3 + 5 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1434356595 and 1434356604.

It is not an unprimeable number, because it can be changed into a prime (1434356641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63675 + ... + 83205.

It is an arithmetic number, because the mean of its divisors is an integer number (27686610).

Almost surely, 21434356640 is an apocalyptic number.

1434356640 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 1434356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657914560).

1434356640 is an abundant number, since it is smaller than the sum of its proper divisors (3881472480).

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

1434356640 is a wasteful number, since it uses less digits than its factorization.

1434356640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19572 (or 19558 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 1434356640 is about 37872.9011299636. The cubic root of 1434356640 is about 1127.7661353105.

The spelling of 1434356640 in words is "one billion, four hundred thirty-four million, three hundred fifty-six thousand, six hundred forty".