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2343402390 = 2357431391867
BaseRepresentation
bin1000101110101101…
…0111101110010110
320001022112011202010
42023223113232112
514244402334030
61024311125050
7112033406640
oct21353275626
96038464663
102343402390
11aa287599a
12554973786
132b4660544
14183329890
15daae66b0
hex8bad7b96

2343402390 has 128 divisors (see below), whose sum is σ = 6627962880. Its totient is φ = 519136128.

The previous prime is 2343402361. The next prime is 2343402401. The reversal of 2343402390 is 932043432.

It is a super-2 number, since 2×23434023902 = 10983069522915424200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1254237 + ... + 1256103.

It is an arithmetic number, because the mean of its divisors is an integer number (51780960).

Almost surely, 22343402390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2343402390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313981440).

2343402390 is an abundant number, since it is smaller than the sum of its proper divisors (4284560490).

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

2343402390 is a wasteful number, since it uses less digits than its factorization.

2343402390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066.

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 2343402390 is about 48408.7015938251. The cubic root of 2343402390 is about 1328.2575387656.

The spelling of 2343402390 in words is "two billion, three hundred forty-three million, four hundred two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 139 210 215 258 278 301 417 430 602 645 695 834 903 973 1290 1390 1505 1806 1867 1946 2085 2919 3010 3734 4170 4515 4865 5601 5838 5977 9030 9335 9730 11202 11954 13069 14595 17931 18670 26138 28005 29190 29885 35862 39207 41839 56010 59770 65345 78414 80281 83678 89655 125517 130690 160562 179310 196035 209195 240843 251034 259513 392070 401405 418390 481686 519026 561967 627585 778539 802810 1123934 1204215 1255170 1297565 1557078 1685901 1816591 2408430 2595130 2809835 3371802 3633182 3892695 5449773 5619670 7785390 8429505 9082955 10899546 11159059 16859010 18165910 22318118 27248865 33477177 54497730 55795295 66954354 78113413 111590590 156226826 167385885 234340239 334771770 390567065 468680478 781134130 1171701195 2343402390