Search a number
-
+
3342796464 = 2437219231127
BaseRepresentation
bin1100011100111111…
…0000011010110000
322121222001122200110
43013033300122300
523321223441324
61311411421320
7145560205200
oct30717603260
98558048613
103342796464
111465a15507
127935b4840
13413717997
14239d5a400
15148708329
hexc73f06b0

3342796464 has 360 divisors, whose sum is σ = 11030151168. Its totient is φ = 868734720.

The previous prime is 3342796439. The next prime is 3342796489. The reversal of 3342796464 is 4646972433.

3342796464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3342796439) and next prime (3342796489).

It is a super-2 number, since 2×33427964642 = 22348576399461806592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (2612736) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26321169 + ... + 26321295.

Almost surely, 23342796464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342796464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515075584).

3342796464 is an abundant number, since it is smaller than the sum of its proper divisors (7687354704).

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

3342796464 is a wasteful number, since it uses less digits than its factorization.

3342796464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 189 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 48.

The square root of 3342796464 is about 57816.9219519684. The cubic root of 3342796464 is about 1495.2138505359.

The spelling of 3342796464 in words is "three billion, three hundred forty-two million, seven hundred ninety-six thousand, four hundred sixty-four".