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3254349312 = 29368719
BaseRepresentation
bin1100000111111001…
…0110111000000000
322101210122002000000
43001332112320000
523131103134222
61254532000000
7143434340604
oct30176267000
98353562000
103254349312
11141aaa4895
12769a60000
133cb2ba7a6
1422c2d5504
15140a869ac
hexc1f96e00

3254349312 has 140 divisors (see below), whose sum is σ = 9750172080. Its totient is φ = 1084658688.

The previous prime is 3254349311. The next prime is 3254349313. The reversal of 3254349312 is 2139434523.

It is an interprime number because it is at equal distance from previous prime (3254349311) and next prime (3254349313).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3254349311) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 368889 + ... + 377607.

Almost surely, 23254349312 is an apocalyptic number.

3254349312 is a gapful number since it is divisible by the number (32) 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 3254349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875086040).

3254349312 is an abundant number, since it is smaller than the sum of its proper divisors (6495822768).

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

3254349312 is an frugal number, since it uses more digits than its factorization.

3254349312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8755 (or 8724 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 3254349312 is about 57046.9044909538. The cubic root of 3254349312 is about 1481.9084996533.

The spelling of 3254349312 in words is "three billion, two hundred fifty-four million, three hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3888 4608 5184 5832 6912 7776 8719 10368 11664 13824 15552 17438 20736 23328 26157 31104 34876 41472 46656 52314 62208 69752 78471 93312 104628 124416 139504 156942 186624 209256 235413 279008 313884 373248 418512 470826 558016 627768 706239 837024 941652 1116032 1255536 1412478 1674048 1883304 2118717 2232064 2511072 2824956 3348096 3766608 4237434 4464128 5022144 5649912 6356151 6696192 7533216 8474868 10044288 11299824 12712302 13392384 15066432 16949736 20088576 22599648 25424604 30132864 33899472 40177152 45199296 50849208 60265728 67798944 90398592 101698416 120531456 135597888 180797184 203396832 271195776 361594368 406793664 542391552 813587328 1084783104 1627174656 3254349312