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2341328419600 = 2452765072
BaseRepresentation
bin100010000100100010000…
…011000111101100010000
322021211101012111010022121
4202010202003013230100
5301330020033411400
64551331425344024
7331104205125562
oct42044203075420
98254335433277
102341328419600
11822a51944465
12319922198014
1313ca2b721021
148146c79b332
1540d83ac921a
hex221220c7b10

2341328419600 has 45 divisors (see below), whose sum is σ = 5625115052277. Its totient is φ = 936519126720.

The previous prime is 2341328419589. The next prime is 2341328419613. The reversal of 2341328419600 is 69148231432.

The square root of 2341328419600 is 1530140.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 842878231056 + 1498450188544 = 918084^2 + 1224112^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30564547 + ... + 30641053.

Almost surely, 22341328419600 is an apocalyptic number.

2341328419600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2341328419600 is the 1530140-th square number.

It is an amenable number.

2341328419600 is an abundant number, since it is smaller than the sum of its proper divisors (3283786632677).

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

2341328419600 is an frugal number, since it uses more digits than its factorization.

2341328419600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153032 (or 76514 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 2341328419600 in words is "two trillion, three hundred forty-one billion, three hundred twenty-eight million, four hundred nineteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 76507 153014 306028 382535 612056 765070 1224112 1530140 1912675 3060280 3825350 6120560 7650700 15301400 30602800 5853321049 11706642098 23413284196 29266605245 46826568392 58533210490 93653136784 117066420980 146333026225 234132841960 292666052450 468265683920 585332104900 1170664209800 2341328419600