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2430942072 = 2331359132059
BaseRepresentation
bin1001000011100101…
…0011101101111000
320021102020122121120
42100321103231320
514434310121242
61041115305240
7114145444446
oct22071235570
96242218546
102430942072
111038226839
1257a14b220
132c9830680
14190bd5b96
15e36391ec
hex90e53b78

2430942072 has 64 divisors (see below), whose sum is σ = 6655824000. Its totient is φ = 735298944.

The previous prime is 2430942071. The next prime is 2430942077. The reversal of 2430942072 is 2702490342.

2430942072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430942071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47622 + ... + 84437.

It is an arithmetic number, because the mean of its divisors is an integer number (103997250).

Almost surely, 22430942072 is an apocalyptic number.

It is an amenable number.

2430942072 is an abundant number, since it is smaller than the sum of its proper divisors (4224881928).

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

2430942072 is a wasteful number, since it uses less digits than its factorization.

2430942072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132140 (or 132136 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2430942072 is about 49304.5846955433. The cubic root of 2430942072 is about 1344.5951383900.

The spelling of 2430942072 in words is "two billion, four hundred thirty million, nine hundred forty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 177 236 312 354 472 708 767 1416 1534 2301 3068 4602 6136 9204 18408 132059 264118 396177 528236 792354 1056472 1584708 1716767 3169416 3433534 5150301 6867068 7791481 10300602 13734136 15582962 20601204 23374443 31165924 41202408 46748886 62331848 93497772 101289253 186995544 202578506 303867759 405157012 607735518 810314024 1215471036 2430942072