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3400670740 = 2253717092689
BaseRepresentation
bin1100101010110010…
…0001111000010100
322202222221222021011
43022230201320110
523431032430430
61321240102004
7150162136645
oct31254417024
98688858234
103400670740
111495654295
127aaa64904
134226cc20c
142439036cc
1514d83b22a
hexcab21e14

3400670740 has 48 divisors (see below), whose sum is σ = 7341440400. Its totient is φ = 1322237952.

The previous prime is 3400670729. The next prime is 3400670743. The reversal of 3400670740 is 470760043.

It can be written as a sum of positive squares in 8 ways, for example, as 314423824 + 3086246916 = 17732^2 + 55554^2 .

It is a super-2 number, since 2×34006707402 = 23129122963784295200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400670743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1263316 + ... + 1266004.

It is an arithmetic number, because the mean of its divisors is an integer number (152946675).

Almost surely, 23400670740 is an apocalyptic number.

It is an amenable number.

3400670740 is an abundant number, since it is smaller than the sum of its proper divisors (3940769660).

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

3400670740 is a wasteful number, since it uses less digits than its factorization.

3400670740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 3400670740 is about 58315.2702128696. The cubic root of 3400670740 is about 1503.7934708910.

The spelling of 3400670740 in words is "three billion, four hundred million, six hundred seventy thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1709 2689 3418 5378 6836 8545 10756 13445 17090 26890 34180 53780 63233 99493 126466 198986 252932 316165 397972 497465 632330 994930 1264660 1989860 4595501 9191002 18382004 22977505 45955010 91910020 170033537 340067074 680134148 850167685 1700335370 3400670740