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1070033328 = 243471343211
BaseRepresentation
bin111111110001110…
…110100110110000
32202120110022210000
4333301312212300
54142412031303
6254102310000
735342063460
oct7761664660
92676408700
101070033328
114aa007971
1225a428300
131408bac20
14a217bba0
1563e16da3
hex3fc769b0

1070033328 has 400 divisors, whose sum is σ = 3918804736. Its totient is φ = 274337280.

The previous prime is 1070033309. The next prime is 1070033333. The reversal of 1070033328 is 8233300701.

It is a super-2 number, since 2×10700333282 = 2289942646061511168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5071143 + ... + 5071353.

Almost surely, 21070033328 is an apocalyptic number.

1070033328 is a gapful number since it is divisible by the number (18) 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 1070033328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959402368).

1070033328 is an abundant number, since it is smaller than the sum of its proper divisors (2848771408).

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

1070033328 is a wasteful number, since it uses less digits than its factorization.

1070033328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1070033328 is about 32711.3638969701. The cubic root of 1070033328 is about 1022.8197410309.

The spelling of 1070033328 in words is "one billion, seventy million, thirty-three thousand, three hundred twenty-eight".