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3324420992 = 271737157263
BaseRepresentation
bin1100011000100110…
…1010001110000000
322120200111002021102
43012021222032000
523302022432432
61305513513532
7145245053324
oct30611521600
98520432242
103324420992
111456604772
127894128a8
1340c982b19
14237735984
15146cc8962
hexc626a380

3324420992 has 128 divisors (see below), whose sum is σ = 7275407040. Its totient is φ = 1506705408.

The previous prime is 3324420991. The next prime is 3324421019. The reversal of 3324420992 is 2990244233.

3324420992 = T43 + T44 + ... + T2711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33244209922 = 22103549864100528128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3324420991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12640253 + ... + 12640515.

Almost surely, 23324420992 is an apocalyptic number.

3324420992 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 3324420992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637703520).

3324420992 is an abundant number, since it is smaller than the sum of its proper divisors (3950986048).

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

3324420992 is a wasteful number, since it uses less digits than its factorization.

3324420992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The square root of 3324420992 is about 57657.7921186720. The cubic root of 3324420992 is about 1492.4690669376.

The spelling of 3324420992 in words is "three billion, three hundred twenty-four million, four hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 157 263 272 296 314 526 544 592 628 629 1052 1088 1184 1256 1258 2104 2176 2368 2512 2516 2669 4208 4471 4736 5024 5032 5338 5809 8416 8942 9731 10048 10064 10676 11618 16832 17884 19462 20096 20128 21352 23236 33664 35768 38924 40256 41291 42704 46472 71536 77848 80512 82582 85408 92944 98753 143072 155696 165164 165427 170816 185888 197506 286144 311392 330328 330854 341632 371776 395012 572288 622784 660656 661708 701947 743552 790024 1245568 1321312 1323416 1403894 1527767 1580048 2642624 2646832 2807788 3055534 3160096 5285248 5293664 5615576 6111068 6320192 10587328 11231152 12222136 12640384 21174656 22462304 24444272 25972039 44924608 48888544 51944078 89849216 97777088 103888156 195554176 207776312 415552624 831105248 1662210496 3324420992