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3323142004 = 227134125431
BaseRepresentation
bin1100011000010011…
…0001111101110100
322120121002002211111
43012010301331310
523301211021004
61305430244404
7145231145440
oct30604617564
98517062744
103323142004
111455910856
12788ab6704
1340c625920
142374c1820
15146b24a04
hexc6131f74

3323142004 has 72 divisors (see below), whose sum is σ = 7337719424. Its totient is φ = 1282348800.

The previous prime is 3323141993. The next prime is 3323142037. The reversal of 3323142004 is 4002413233.

It is a happy number.

3323142004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33231420042 = 22086545557498272032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609169 + ... + 614599.

Almost surely, 23323142004 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 3323142004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668859712).

3323142004 is an abundant number, since it is smaller than the sum of its proper divisors (4014577420).

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

3323142004 is a wasteful number, since it uses less digits than its factorization.

3323142004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3323142004 is about 57646.6998535042. The cubic root of 3323142004 is about 1492.2776456467.

Adding to 3323142004 its reverse (4002413233), we get a palindrome (7325555237).

The spelling of 3323142004 in words is "three billion, three hundred twenty-three million, one hundred forty-two thousand, four".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 533 574 1066 1148 1681 2132 3362 3731 5431 6724 7462 10862 11767 14924 21724 21853 23534 38017 43706 47068 70603 76034 87412 141206 152068 152971 222671 282412 305942 445342 494221 611884 890684 988442 1558697 1976884 2894723 3117394 5789446 6234788 9129511 11578892 18259022 20263061 36518044 40526122 63906577 81052244 118683643 127813154 237367286 255626308 474734572 830785501 1661571002 3323142004