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342239436 = 2232711331373
BaseRepresentation
bin10100011001100…
…010100011001100
3212211222120020200
4110121202203030
51200103130221
653543213500
711323662420
oct2431424314
9784876220
10342239436
11166204610
1296747290
1355b99a56
143364ab80
15200a4426
hex146628cc

342239436 has 144 divisors (see below), whose sum is σ = 1084731648. Its totient is φ = 88387200.

The previous prime is 342239431. The next prime is 342239437. The reversal of 342239436 is 634932243.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 342239436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342239431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 917346 + ... + 917718.

Almost surely, 2342239436 is an apocalyptic number.

342239436 is a gapful number since it is divisible by the number (36) 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 342239436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542365824).

342239436 is an abundant number, since it is smaller than the sum of its proper divisors (742492212).

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

342239436 is a wasteful number, since it uses less digits than its factorization.

342239436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 727 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 342239436 is about 18499.7144842833. The cubic root of 342239436 is about 699.4822266336.

It can be divided in two parts, 342 and 239436, that added together give a triangular number (239778 = T692).

The spelling of 342239436 in words is "three hundred forty-two million, two hundred thirty-nine thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 331 373 396 462 662 693 746 924 993 1119 1324 1386 1492 1986 2238 2317 2611 2772 2979 3357 3641 3972 4103 4476 4634 5222 5958 6714 6951 7282 7833 8206 9268 10444 10923 11916 12309 13428 13902 14564 15666 16412 20853 21846 23499 24618 25487 27804 28721 31332 32769 36927 41706 43692 46998 49236 50974 57442 65538 73854 76461 83412 86163 93996 101948 114884 123463 131076 147708 152922 172326 229383 246926 258489 305844 344652 370389 458766 493852 516978 740778 864241 917532 1033956 1111167 1358093 1481556 1728482 2222334 2592723 2716186 3456964 4074279 4444668 5185446 5432372 7778169 8148558 9506651 10370892 12222837 15556338 16297116 19013302 24445674 28519953 31112676 38026604 48891348 57039906 85559859 114079812 171119718 342239436