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2342112432 = 24311371011187
BaseRepresentation
bin1000101110011001…
…1100110010110000
320001020002122020220
42023212130302300
514244040044212
61024223333040
7112016425062
oct21346346260
96036078226
102342112432
11aa2074810
12554451180
132b42cb35a
141830b1732
15da93e38c
hex8b99ccb0

2342112432 has 160 divisors (see below), whose sum is σ = 6851775744. Its totient is φ = 683136000.

The previous prime is 2342112427. The next prime is 2342112473.

It is a happy number.

2342112432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1972543 + ... + 1973729.

Almost surely, 22342112432 is an apocalyptic number.

2342112432 is a gapful number since it is divisible by the number (22) 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 2342112432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425887872).

2342112432 is an abundant number, since it is smaller than the sum of its proper divisors (4509663312).

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

2342112432 is a wasteful number, since it uses less digits than its factorization.

2342112432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1341 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2342112432 is about 48395.3761427680. The cubic root of 2342112432 is about 1328.0137748366.

It can be divided in two parts, 23421 and 12432, that added together give a palindrome (35853).

The spelling of 2342112432 in words is "two billion, three hundred forty-two million, one hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 101 111 132 148 176 202 222 264 296 303 404 407 444 528 592 606 808 814 888 1111 1187 1212 1221 1616 1628 1776 2222 2374 2424 2442 3256 3333 3561 3737 4444 4748 4848 4884 6512 6666 7122 7474 8888 9496 9768 11211 13057 13332 14244 14948 17776 18992 19536 22422 26114 26664 28488 29896 39171 41107 43919 44844 52228 53328 56976 59792 78342 82214 87838 89688 104456 119887 123321 131757 156684 164428 175676 179376 208912 239774 246642 263514 313368 328856 351352 359661 479548 483109 493284 527028 626736 657712 702704 719322 959096 966218 986568 1054056 1318757 1438644 1449327 1918192 1932436 1973136 2108112 2637514 2877288 2898654 3864872 3956271 4435819 5275028 5754576 5797308 7729744 7912542 8871638 10550056 11594616 13307457 15825084 17743276 21100112 23189232 26614914 31650168 35486552 48794009 53229828 63300336 70973104 97588018 106459656 146382027 195176036 212919312 292764054 390352072 585528108 780704144 1171056216 2342112432