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3424970640 = 2435721343521
BaseRepresentation
bin1100110000100100…
…1110011110010000
322211200200112110110
43030021032132100
524003243030030
61323505001320
7150605525100
oct31411163620
98750615413
103424970640
1114a8341153
127b7023240
13427759860
14246c2b200
15150a3b1b0
hexcc24e790

3424970640 has 480 divisors, whose sum is σ = 13636377216. Its totient is φ = 704471040.

The previous prime is 3424970621. The next prime is 3424970651. The reversal of 3424970640 is 460794243.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6573580 + ... + 6574100.

Almost surely, 23424970640 is an apocalyptic number.

3424970640 is a gapful number since it is divisible by the number (30) 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 3424970640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6818188608).

3424970640 is an abundant number, since it is smaller than the sum of its proper divisors (10211406576).

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

3424970640 is a wasteful number, since it uses less digits than its factorization.

3424970640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 3424970640 is about 58523.2487136523. The cubic root of 3424970640 is about 1507.3668185383.

The spelling of 3424970640 in words is "three billion, four hundred twenty-four million, nine hundred seventy thousand, six hundred forty".