Search a number
-
+
1070394624 = 28321322749
BaseRepresentation
bin111111110011001…
…110110100000000
32202121010200101100
4333303032310000
54143010111444
6254114134400
735345130015
oct7763166400
92677120340
101070394624
114aa234362
1225a581400
131409b6500
14a223370c
1563e88e69
hex3fcced00

1070394624 has 162 divisors, whose sum is σ = 3343089750. Its totient is φ = 329232384.

The previous prime is 1070394617. The next prime is 1070394653. The reversal of 1070394624 is 4264930701.

It can be written as a sum of positive squares in 3 ways, for example, as 48441600 + 1021953024 = 6960^2 + 31968^2 .

It is a super-2 number, since 2×10703946242 = 2291489302176202752, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 388002 + ... + 390750.

Almost surely, 21070394624 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 1070394624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671544875).

1070394624 is an abundant number, since it is smaller than the sum of its proper divisors (2272695126).

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

1070394624 is a wasteful number, since it uses less digits than its factorization.

1070394624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1070394624 is about 32716.8859153801. The cubic root of 1070394624 is about 1022.9348461987.

The spelling of 1070394624 in words is "one billion, seventy million, three hundred ninety-four thousand, six hundred twenty-four".