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2342500400 = 245219130661
BaseRepresentation
bin1000101110011111…
…1011100000110000
320001020211100110002
42023213323200300
514244140003100
61024235525132
7112022632142
oct21347734060
96036740402
102342500400
11aa230a249
125545b97a8
132b4405b16
14183172c92
15da9b92d5
hex8b9fb830

2342500400 has 60 divisors (see below), whose sum is σ = 5657506944. Its totient is φ = 932064000.

The previous prime is 2342500393. The next prime is 2342500411. The reversal of 2342500400 is 40052432.

2342500400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61070 + ... + 91730.

Almost surely, 22342500400 is an apocalyptic number.

2342500400 is a gapful number since it is divisible by the number (20) 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 2342500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828753472).

2342500400 is an abundant number, since it is smaller than the sum of its proper divisors (3315006544).

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

2342500400 is a wasteful number, since it uses less digits than its factorization.

2342500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30870 (or 30859 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2342500400 is about 48399.3842936044. The cubic root of 2342500400 is about 1328.0870987292.

Adding to 2342500400 its reverse (40052432), we get a palindrome (2382552832).

The spelling of 2342500400 in words is "two billion, three hundred forty-two million, five hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 191 200 382 400 764 955 1528 1910 3056 3820 4775 7640 9550 15280 19100 30661 38200 61322 76400 122644 153305 245288 306610 490576 613220 766525 1226440 1533050 2452880 3066100 5856251 6132200 11712502 12264400 23425004 29281255 46850008 58562510 93700016 117125020 146406275 234250040 292812550 468500080 585625100 1171250200 2342500400