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1342534656 = 21032319001
BaseRepresentation
bin101000000000101…
…0111010000000000
310110120012211022210
41100001113100000
510222142102111
6341115102120
745161233131
oct12001272000
93416184283
101342534656
1162990a181
12315741940
131851ab408
14ca433c88
157cce30a6
hex50057400

1342534656 has 88 divisors (see below), whose sum is σ = 3734121024. Its totient is φ = 428032000.

The previous prime is 1342534637. The next prime is 1342534663. The reversal of 1342534656 is 6564352431.

It is a super-2 number, since 2×13425346562 = 3604798605122076672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61156 + ... + 80156.

Almost surely, 21342534656 is an apocalyptic number.

1342534656 is a gapful number since it is divisible by the number (16) 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 1342534656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867060512).

1342534656 is an abundant number, since it is smaller than the sum of its proper divisors (2391586368).

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

1342534656 is a wasteful number, since it uses less digits than its factorization.

1342534656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19047 (or 19029 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The square root of 1342534656 is about 36640.6148420029. The cubic root of 1342534656 is about 1103.1684559554.

The spelling of 1342534656 in words is "one billion, three hundred forty-two million, five hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2208 2944 3072 4416 5888 8832 11776 17664 19001 23552 35328 38002 57003 70656 76004 114006 152008 228012 304016 437023 456024 608032 874046 912048 1216064 1311069 1748092 1824096 2432128 2622138 3496184 3648192 4864256 5244276 6992368 7296384 9728512 10488552 13984736 14592768 19457024 20977104 27969472 29185536 41954208 55938944 58371072 83908416 111877888 167816832 223755776 335633664 447511552 671267328 1342534656