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345214062300 = 2235255723709
BaseRepresentation
bin1010000011000000101…
…11001000111011011100
31020000001120011101002010
411001200113020323130
521123444244443200
6422331131231220
733640504054062
oct5014027107334
91200046141063
10345214062300
1112344a37a538
1256aa35a8510
13267271ab923
14129cbdb4032
158ea6cd3150
hex50605c8edc

345214062300 has 108 divisors (see below), whose sum is σ = 1000885565960. Its totient is φ = 91867034880.

The previous prime is 345214062253. The next prime is 345214062343. The reversal of 345214062300 is 3260412543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93072846 + ... + 93076554.

Almost surely, 2345214062300 is an apocalyptic number.

345214062300 is a gapful number since it is divisible by the number (30) 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 345214062300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500442782980).

345214062300 is an abundant number, since it is smaller than the sum of its proper divisors (655671503660).

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

345214062300 is a wasteful number, since it uses less digits than its factorization.

345214062300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 345214062300 its reverse (3260412543), we get a palindrome (348474474843).

The spelling of 345214062300 in words is "three hundred forty-five billion, two hundred fourteen million, sixty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 557 1114 1671 2228 2785 3342 3709 5570 6684 7418 8355 11127 11140 13925 14836 16710 18545 22254 27850 33420 37090 41775 44508 55635 55700 74180 83550 92725 111270 167100 185450 222540 278175 310249 370900 556350 620498 930747 1112700 1240996 1551245 1861494 2065913 3102490 3722988 4131826 4653735 6197739 6204980 7756225 8263652 9307470 10329565 12395478 15512450 18614940 20659130 23268675 24790956 30988695 31024900 41318260 46537350 51647825 61977390 93074700 103295650 123954780 154943475 206591300 309886950 619773900 1150713541 2301427082 3452140623 4602854164 5753567705 6904281246 11507135410 13808562492 17260703115 23014270820 28767838525 34521406230 57535677050 69042812460 86303515575 115071354100 172607031150 345214062300