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3514034004 = 22313374191453
BaseRepresentation
bin1101000101110011…
…1110011101010100
3100001220021102102120
43101130332131110
524144043042004
61340405535540
7153036540045
oct32134763524
910056242376
103514034004
111543642838
12820a145b0
13440041380
142549b28cc
151587803d9
hexd173e754

3514034004 has 96 divisors (see below), whose sum is σ = 9096689280. Its totient is φ = 1048785408.

The previous prime is 3514033961. The next prime is 3514034053. The reversal of 3514034004 is 4004304153.

It is a congruent number.

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, 2417742 + ... + 2419194.

It is an arithmetic number, because the mean of its divisors is an integer number (94757180).

Almost surely, 23514034004 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 3514034004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548344640).

3514034004 is an abundant number, since it is smaller than the sum of its proper divisors (5582655276).

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

3514034004 is a wasteful number, since it uses less digits than its factorization.

3514034004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3514034004 is about 59279.2881536207. The cubic root of 3514034004 is about 1520.3210892542.

Adding to 3514034004 its reverse (4004304153), we get a palindrome (7518338157).

The spelling of 3514034004 in words is "three billion, five hundred fourteen million, thirty-four thousand, four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 419 444 481 838 962 1257 1443 1453 1676 1924 2514 2886 2906 4359 5028 5447 5772 5812 8718 10894 15503 16341 17436 18889 21788 31006 32682 37778 46509 53761 56667 62012 65364 75556 93018 107522 113334 161283 186036 201539 215044 226668 322566 403078 604617 608807 645132 698893 806156 1209234 1217614 1397786 1826421 2096679 2418468 2435228 2795572 3652842 4193358 7305684 7914491 8386716 15828982 22525859 23743473 31657964 45051718 47486946 67577577 90103436 94973892 135155154 270310308 292836167 585672334 878508501 1171344668 1757017002 3514034004