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3492386016 = 253722925601
BaseRepresentation
bin1101000000101001…
…1001010011100000
3100000101112120222020
43100022121103200
524123022323031
61334313541440
7152354535300
oct32012312340
910011476866
103492386016
1115323a7339
12815714880
13438701b02
14251b79600
15156906096
hexd02994e0

3492386016 has 144 divisors (see below), whose sum is σ = 11032413840. Its totient is φ = 963379200.

The previous prime is 3492385993. The next prime is 3492386021. The reversal of 3492386016 is 6106832943.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123616 + ... + 149216.

It is an arithmetic number, because the mean of its divisors is an integer number (76613985).

Almost surely, 23492386016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3492386016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5516206920).

3492386016 is an abundant number, since it is smaller than the sum of its proper divisors (7540027824).

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

3492386016 is a wasteful number, since it uses less digits than its factorization.

3492386016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25657 (or 25642 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 3492386016 is about 59096.4128860627. The cubic root of 3492386016 is about 1517.1927085189.

The spelling of 3492386016 in words is "three billion, four hundred ninety-two million, three hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 56 58 84 87 96 98 112 116 147 168 174 196 203 224 232 294 336 348 392 406 464 588 609 672 696 784 812 928 1176 1218 1392 1421 1568 1624 2352 2436 2784 2842 3248 4263 4704 4872 5684 6496 8526 9744 11368 17052 19488 22736 25601 34104 45472 51202 68208 76803 102404 136416 153606 179207 204808 307212 358414 409616 537621 614424 716828 742429 819232 1075242 1228848 1254449 1433656 1484858 2150484 2227287 2457696 2508898 2867312 2969716 3763347 4300968 4454574 5017796 5197003 5734624 5939432 7526694 8601936 8909148 10035592 10394006 11878864 15053388 15591009 17203872 17818296 20071184 20788012 23757728 30106776 31182018 35636592 36379021 40142368 41576024 60213552 62364036 71273184 72758042 83152048 109137063 120427104 124728072 145516084 166304096 218274126 249456144 291032168 436548252 498912288 582064336 873096504 1164128672 1746193008 3492386016