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740834640 = 243357133769
BaseRepresentation
bin101100001010000…
…011110101010000
31220122000022002000
4230022003311100
53004123202030
6201302354000
724233663520
oct5412036520
91818008060
10740834640
11350200037
1218812b900
13ba638ac0
1470567680
154508b860
hex2c283d50

740834640 has 320 divisors, whose sum is σ = 3141465600. Its totient is φ = 156266496.

The previous prime is 740834599. The next prime is 740834651. The reversal of 740834640 is 46438047.

740834640 is a `hidden beast` number, since 7 + 4 + 0 + 8 + 3 + 4 + 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 = 740834595 and 740834604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194676 + ... + 198444.

It is an arithmetic number, because the mean of its divisors is an integer number (9817080).

Almost surely, 2740834640 is an apocalyptic number.

740834640 is a gapful number since it is divisible by the number (70) 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 740834640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570732800).

740834640 is an abundant number, since it is smaller than the sum of its proper divisors (2400630960).

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

740834640 is a wasteful number, since it uses less digits than its factorization.

740834640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 740834640 is about 27218.2776824692. The cubic root of 740834640 is about 904.8441028535.

The spelling of 740834640 in words is "seven hundred forty million, eight hundred thirty-four thousand, six hundred forty".